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1
AP EAPCET 2025 - 24th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $X$ is a binomial variate with mean $\frac{16}{5}$ and variance $\frac{48}{25}$, then $P(X \leq 2)=$

A

$\frac{3^6(169)}{5^8}$

B

$\frac{3^7(71)}{5^8}$

C

$\frac{3^8}{(43) 5^8}$

D

$\frac{3^6(158)}{5^8}$

2
AP EAPCET 2025 - 23rd May Evening Shift
MCQ (Single Correct Answer)
+1
-0
There are 8 boys and 7 girls in a class room. If the names of all those children are written on paper slips and 3 slips are drawn at random from them, then the probability of getting the names of one boy and two girls or one girl and two boys is
A

$\frac{1}{5}$

B

$\frac{3}{4}$

C

$\frac{4}{5}$

D

$\frac{1}{4}$

3
AP EAPCET 2025 - 23rd May Evening Shift
MCQ (Single Correct Answer)
+1
-0
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
A

$\frac{125}{143}$

B

$\frac{18}{143}$

C

$\frac{60}{143}$

D

$\frac{65}{143}$

4
AP EAPCET 2025 - 23rd May Evening Shift
MCQ (Single Correct Answer)
+1
-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, $P(A / \bar{B})=$

A

$\frac{1}{2}$

B

$\frac{2}{3}$

C

$\frac{1}{5}$

D

$\frac{3}{5}$

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