AP EAPCET 2025 - 23rd May Evening Shift | Probability Question 26 | Mathematics

A four member committee is to be formed from a group containing 9 men and 5 women. If a committee is formed randomly, then the probability that it contains atleast one woman is

$\frac{125}{143}$

$\frac{18}{143}$

$\frac{60}{143}$

$\frac{65}{143}$

AP EAPCET 2025 - 23rd May Evening Shift

MCQ (Single Correct Answer)

-0

A die is thrown twice. Let A be the event of getting a prime number when the die is thrown first time and $B$ be the event of getting an even number when the die is thrown second time. Then, $P(A / \bar{B})=$

$\frac{1}{2}$

$\frac{2}{3}$

$\frac{1}{5}$

$\frac{3}{5}$

AP EAPCET 2025 - 23rd May Evening Shift

MCQ (Single Correct Answer)

-0

A bag contains 5 balls of unknown colours. There are equal chances that out of these five balls, there may be 0 or 12 or or 3 or 4 or 5 red balls, A ball is taken out from the bag at random and is found to be red. The probability that it is the only red ball in the bag is

$\frac{1}{5}$

$\frac{1}{6}$

$\frac{1}{15}$

$\frac{1}{30}$

AP EAPCET 2025 - 23rd May Evening Shift

MCQ (Single Correct Answer)

-0

If $X \sim B(9, p)$ is a binomial variate satisfying the equation $P(X=3)=P(X=6)$, then $P(X<3)=$

$\frac{23}{256}$

$\frac{65}{256}$

$\frac{5}{256}$

$\frac{45}{512}$

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