# Recent questions tagged events

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What is the side of the square which has 5 circles with 3cm radius?
What is the side of the square which has 5 circles with 3cm radius? What is the side of the square which has 5 circles with 3cm radius? &nbsp; ...
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What are the methods of assigning probabilities to events?
What are the methods of assigning probabilities to events?What are the methods of assigning probabilities to events? ...
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Compute the variance of a die roll, i.e. a uniform random variable over the sample space $\Omega=\{1,2,3,4,5,6\}$.
Compute the variance of a die roll, i.e. a uniform random variable over the sample space $\Omega=\{1,2,3,4,5,6\}$.Compute the variance of a die roll, i.e. a uniform random variable over the sample space $\Omega=\{1,2,3,4,5,6\}$. ...
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When are two events A and B termed as independent?
When are two events A and B termed as independent?When are two events A and B termed as independent? ...
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What are events in probability?
What are events in probability?What are events in probability? ...
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If an event occurs 2 times in 20 years, what is probability even will occur 2 times in a week?
If an event occurs 2 times in 20 years, what is probability even will occur 2 times in a week?Hello! I need real life court room bound help. I'm trying to prove not only something happening twice in the same week, is highly improbable but the ...
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Find $a$ if $b-a=c-d$.
Find $a$ if $b-a=c-d$.Find $a$ if $b-a=c-d$. ...
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A fair die is thrown five times; find the probability of obtaining a six three times.
A fair die is thrown five times; find the probability of obtaining a six three times.(a) In a school, the ratio of those who passed to those who failed in a History test is $4: 1$. If 7 students are selected at random from the school ...
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If $\mathrm{P}=n^{2}+1: n=0,2,3$ and $\mathrm{Q}=n+1: n=2,3,5$, find $\mathrm{P} \cap \mathrm{Q}$.
If $\mathrm{P}=n^{2}+1: n=0,2,3$ and $\mathrm{Q}=n+1: n=2,3,5$, find $\mathrm{P} \cap \mathrm{Q}$.If $\mathrm{P}=n^{2}+1: n=0,2,3$ and $\mathrm{Q}=n+1: n=2,3,5$, find $\mathrm{P} \cap \mathrm{Q}$. A. $\{5,10\}$ B. $\{4,6\}$ C. \(\{1,3\}\ ...
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Given the table above as the result of tossing a fair die 150 times, find the mode.
Given the table above as the result of tossing a fair die 150 times, find the mode.\begin{align} \begin{array}{|l|l|l|l|l|l|l|} \hline \text { Face } &amp; 1 &amp; 2 &amp; 3 &amp; 4 &amp; 5 &amp; 6 \\ \hline \text { Frequency } &amp; ...
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Given the table above as the results of tossing a fair die 150 times. Find the probability of obtaining a 5 .
Given the table above as the results of tossing a fair die 150 times. Find the probability of obtaining a 5 .\begin{array}{|l|l|l|l|l|l|l|} \hline \text { Face } &amp; 1 &amp; 2 &amp; 3 &amp; 4 &amp; 5 &amp; 6 \\ \hline \text { Frequency } &amp; 12 &amp; 18 & ...
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A sample of size 40 yields the following sorted data. Note that I have $x$ -ed out $x_{(39)}$ (the second largest number).
A sample of size 40 yields the following sorted data. Note that I have $x$ -ed out $x_{(39)}$ (the second largest number).A sample of size 40 yields the following sorted data. Note that I have $x$ -ed out $x_{(39)}$ (the second largest number). This fact will NOT prevent ...
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what is the probability you will have at least two competing offers by the end of that month?
what is the probability you will have at least two competing offers by the end of that month?When you are searching for a new job, it is always helpful to have more than one offer on the table so you can use it in negotiations. If you have a 1 ...
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How do I compute the probability of mutually exclusive events?
How do I compute the probability of mutually exclusive events?How do I compute the probability of mutually exclusive events? ...
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What is the formula for probability of the union of two events?
What is the formula for probability of the union of two events?What is the formula for probability of the union of two events? ...
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How do I compute the probability of the union of two events?
How do I compute the probability of the union of two events?How do I compute the probability of the union of two events? ...
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The division of two natural numbers will always result in what type of number?
The division of two natural numbers will always result in what type of number?The division of two natural numbers will always result in what type of number? ...
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Is there an easy way to remember the events of meiosis?
Is there an easy way to remember the events of meiosis?Is there an easy way to remember the events of meiosis? ...
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The binomial distribution consists of the probabilities of each of the possible numbers of successes on N trials for independent events that each have a probability of π (the Greek letter pi) of occurring.The binomial distribution consists of the probabilities of each of the possible numbers of successes on N trials for independent events that each have ...
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Combine terms: $12 a+26 b-4 b-16 a$
Combine terms: $12 a+26 b-4 b-16 a$Combine terms: $12 a+26 b-4 b-16 a$ (a) $4 \mathbf{a}+\mathbf{2 2 b}$, (b) $-28 a+30 b$ (c) $-4 a+22 b$ (d) $28 a+30 b$. ...
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In the figure, three circles are tangent to each other and to the parallel lines as shown. If $C_{1}$ has radius $r$ and $C_{2}$ has radius $s$, what is the radius of $C_{3}$ ? In the figure, three circles are tangent to each other and to the parallel lines as shown. If $C_{1}$ has radius $r$ and $C_{2}$ has radius $s$, wha ...
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Given: $\quad B<C$ $B<D<A$ Which of the following expressions is necessarily true?
Given: $\quad B<C$ $B<D<A$ Which of the following expressions is necessarily true?Given: $\quad B&lt;C$ $B&lt;D&lt;A$ Which of the following expressions is necessarily true? (1) $\quad C&lt;D$ (2) $\mathrm{D}&lt;\mathrm{C}$ (3) $\ma ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 What is the probability that the fourth hat that he takes out at random will also be black? 1 answer 101 views What is the probability that the fourth hat that he takes out at random will also be black?There are 20 white hats and 13 black hats in a box. Jack randomly took 3 hats (in succession) out of the box and did not put them back in the box. All ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Suppose that of$1,000,000$live births in Paris over some period, 508,000 are boys. 0 answers 89 views Suppose that of$1,000,000$live births in Paris over some period, 508,000 are boys.Suppose that of$1,000,000$live births in Paris over some period, 508,000 are boys. Suppose$X$is$\operatorname{Bin}\left(10^{6}, 0.5\right)$and c ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 What is the$P(X \geq 10) ?$Let$Y$denote the count over a separate period of$1.5$seconds. What is$P(Y \geq 10) ?$What is$P(X+Y \geq 10)$? 1 answer 155 views What is the$P(X \geq 10) ?$Let$Y$denote the count over a separate period of$1.5$seconds. What is$P(Y \geq 10) ?$What is$P(X+Y \geq 10)$?Experiments by Rutherford and Geiger in 1910 showed that the number of alpha particles emitted per unit time in a radioactive process is a random vari ... close 1 answer 167 views Given that$0.04 \%$of vehicles break down when driving through a certain tunnel find the probability of (a) no (b) at least two breakdowns in an hour when 2,000 vehicles enter the tunnel.Given that$0.04 \%$of vehicles break down when driving through a certain tunnel find the probability of (a) no (b) at least two breakdowns in an hou ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Events which occur randomly at rate$r$are counted over a time period of length$s$so the event count$X$is Poisson. Find$P(X=2), P(X<2)$and$P(X>2)$when 1 answer 137 views Events which occur randomly at rate$r$are counted over a time period of length$s$so the event count$X$is Poisson. Find$P(X=2), P(X<2)$and$P(X>2)$whenEvents which occur randomly at rate$r$are counted over a time period of length$s$so the event count$X$is Poisson. Find$P(X=2), P(X&lt;2)$and$ ...
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Two events $\mathrm{A}$ and $\mathrm{B}$ are such that $\mathrm{P}(A)=0.5, \mathrm{P}(B)=0.3$ and $\mathrm{P}(A \cap B)=0.1 .$
Two events $\mathrm{A}$ and $\mathrm{B}$ are such that $\mathrm{P}(A)=0.5, \mathrm{P}(B)=0.3$ and $\mathrm{P}(A \cap B)=0.1 .$Two events $\mathrm{A}$ and $\mathrm{B}$ are such that $\mathrm{P}(A)=0.5, \mathrm{P}(B)=0.3$ and $\mathrm{P}(A \cap B)=0.1 .$ Calculate (a) $\mathrm ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Assuming that he drives home from the same pub every night, having drunk two pints of beer, what is the chance that he is involved in at least one accident in one year? 1 answer 436 views Assuming that he drives home from the same pub every night, having drunk two pints of beer, what is the chance that he is involved in at least one accident in one year?A certain person considers that he can drink and drive: usually he believes he has a negligible chance of being involved in an accident, whereas he be ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Let$A, B$and$C$be any three events. Draw Venn diagrams to deduce that 0 answers 114 views Let$A, B$and$C$be any three events. Draw Venn diagrams to deduce thatLet$A, B$and$C$be any three events. Draw Venn diagrams to deduce that (a)$A \cap(B \cup C)=(A \cap B) \cup(A \cap C)$; (b)$(A \cap B)^{\prime} ...
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I have in my pocket ten coins. Nine of them are ordinary coins with equal chances of coming up head and tail when tossed and the tenth has two heads.
I have in my pocket ten coins. Nine of them are ordinary coins with equal chances of coming up head and tail when tossed and the tenth has two heads.I have in my pocket ten coins. Nine of them are ordinary coins with equal chances of coming up head and tail when tossed and the tenth has two heads. ...
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Show that  $P(A$ or $B)=P(A)+P(B)-P(A$ and $B)$
Show that  $P(A$ or $B)=P(A)+P(B)-P(A$ and $B)$Show that &nbsp;$P(A$ or $B)=P(A)+P(B)-P(A$ and $B)$ ...
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Calculate the probability that there will be at least four months in which no accidents occur before the fourth month in which at least one accident occurs.
Calculate the probability that there will be at least four months in which no accidents occur before the fourth month in which at least one accident occurs.Calculate the probability that there will be at least four months in which no accidents occur before the fourth month in which at least one accident o ...
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I roll a fair die twice and obtain two numbers $X_{1}=$ result of the first roll and $X_{2}=$ result of the second roll. Given that I know $X_{1}+X_{2}=7$, what is the probability that $X_{1}=4$ or $X_{2}=4 ?$I roll a fair die twice and obtain two numbers $X_{1}=$ result of the first roll and $X_{2}=$ result of the second roll. Given that I know $X_{1}+X_{2 ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 What is the probability of$A, P(A) ?$What is the probability of$A$given$B, P(A \mid B) ?$1 answer 137 views What is the probability of$A, P(A) ?$What is the probability of$A$given$B, P(A \mid B) ?$I roll a fair die. Let$A$be the event that the outcome is an odd number, i.e.,$A=\{1,3,5\} .$Also let$B$be the event that the outcome is less th ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 I roll a fair die twice and obtain two numbers$X_{1}=$result of the first roll, and$X_{2}=$result of the second roll. Find the probability of the following events: 1 answer 490 views I roll a fair die twice and obtain two numbers$X_{1}=$result of the first roll, and$X_{2}=$result of the second roll. Find the probability of the following events:I roll a fair die twice and obtain two numbers$X_{1}=$result of the first roll, and$X_{2}=$result of the second roll. Find the probability of the ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 You roll a fair die. What is the probability of$E=\{1,5\} ?$1 answer 591 views You roll a fair die. What is the probability of$E=\{1,5\} ?$You roll a fair die. What is the probability of$E=\{1,5\} ?$... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 WHen are two sets mutually exclusive or disjoint? 1 answer 181 views WHen are two sets mutually exclusive or disjoint?WHen are two sets mutually exclusive or disjoint? ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 What is the complement of a set A? 1 answer 312 views What is the complement of a set A?What is the complement of a set A? ... close 1 answer 222 views close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 If$P (E)$denotes the probability of an event$E$, then 0 answers 103 views If$P (E)$denotes the probability of an event$E$, thenIf$P (E)$denotes the probability of an event$E$, then ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Three coins were tossed 200 times. The number of times 2 heads came up is 72. Then the probability of 2 heads coming up is: 0 answers 299 views Three coins were tossed 200 times. The number of times 2 heads came up is 72. Then the probability of 2 heads coming up is:Three coins were tossed 200 times. The number of times 2 heads came up is 72. Then the probability of 2 heads coming up is: ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 The events which are affected by other events are called 0 answers 95 views The events which are affected by other events are calledThe events which are affected by other events are called ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 If the events have the same theoretical probability of happening, then they are called 0 answers 189 views If the events have the same theoretical probability of happening, then they are calledIf the events have the same theoretical probability of happening, then they are called ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 The complement of the probability of an event$A$written as$P(A)$is 0 answers 94 views The complement of the probability of an event$A$written as$P(A)$isThe complement of the probability of an event$A$written as$P(A)$is ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 What is the probability that the urn was Urn I given that the ball chosen was white? 0 answers 128 views What is the probability that the urn was Urn I given that the ball chosen was white?Suppose that Urn I is chosen with probability$\frac{1}{2}$and Urn II is also chosen with probability$\frac{1}{2}\$. Suppose that Urn I has 5 white b ...
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If B is 4, C is 9 and D is 16. Find the sum A+C+E?
If B is 4, C is 9 and D is 16. Find the sum A+C+E?If B is 4, C is 9 and D is 16. Find the sum &nbsp;A+C+E? ...
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What are probabilities?