Recent questions tagged probability

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Chandler is selling tickets for \$1 per ticket. In the queue for tickets, there are ‘m‘ people with a single \$1 coin and 2 with a \$2 coin. Each person in the queue ...
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If $P(A \cap B) = \frac{1}{2}, \: P(\overline{A} \cap \overline{B}) = \frac{1}{2}$ and $2P(A)=P(B)=p$, then the value of $p$ is given by:$\frac{1}{4}$$\frac{1}{2}$$\frac{...
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what is the probability that in a group of n people chosen at random, there are atleast two people born in the same month of the year?
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15 students among whom are A and B arranged randomly in a row. Obtain the probability that there will be 3 students between A and B?
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From a deck of 52 cards, what is the probability of picking 2 kings:a)With replacementB)Without replacement Please explain in details. I am new to probability. Thank you....
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I have a query here. For the case 4 when 4 tosses are made shouldn’t the probability be $\frac{1}{8}$ instead of $\frac{1}{16}$ because at 4th toss, it be might be HHHT...
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X and Y are two independent random variables with variances 1 and 2 respectively. Let Z=X-Y. The variance of Z is _____.
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1) P(A/B) = P(A $\cap$ B) / P(B)2) P(A/B) = P(B $\cap$ A) / P(B)What is the difference in this equation..P(A $\cap$ B) and P(B $\cap$​​​​​​​ A) are same ??...
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Find the value of $\lambda$ such that function f(x) is valid probability density function$f(x)=\lambda (x-1)(2-x)$ for $1 \leq x \leq 2$$=0$ otherwise My $\lambda$ is com...
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Consider the following probability mass function of a random variable X$p(X,q)=\{q\,\,if\,X=0 \\\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,1-q\,\,\,if\,X=1\\...
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Suppose the random variable X has the probability distribution given below:X-2-1012P(X=X)0.250.200.150.350.05Let $Y=(2*(X^2))+6$.The expected value E(Y) is:A) 9.5 B) ...
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A person throwing a dice and when even have come he got $2$ points and when odd have come he got $1$ points.What is the probability when he got exactly $6$ points?
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Consider an undirected random graph of eight vertices. The probability that there is an edge between a pair of vertices is $\large \frac{1}{2}$. What is the probability t...