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

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

A

$\frac{23}{256}$

B

$\frac{65}{256}$

C

$\frac{5}{256}$

D

$\frac{45}{512}$

2
AP EAPCET 2025 - 23rd May Morning Shift
MCQ (Single Correct Answer)
+1
-0
If 3 squares are chosen at random from the 64 squares of a chess board, then the probability that all of them lie along the same diagonal line is
A

$\frac{21}{764}$

B

$\frac{14}{745}$

C

$\frac{7}{744}$

D

$\frac{7}{736}$

3
AP EAPCET 2025 - 23rd May Morning Shift
MCQ (Single Correct Answer)
+1
-0
In a shoe rack there are 4 pairs of shoes and 4 shoes. are drawn one after the other at random without replacement. Then, the probability of getting atleast one correct pair of shoes among the four shoes drawn is
A

$\frac{8}{35}$

B

$\frac{27}{35}$

C

$\frac{1679}{1680}$

D

$\frac{1}{1680}$

4
AP EAPCET 2025 - 23rd May Morning Shift
MCQ (Single Correct Answer)
+1
-0
A rational number is selected at random from the distinct rational numbers of the form $p / q$ formed with $p$ and $q$ belonging to the set $\{1,2,3,4,5,6\}$. The probability that the rational number selected is a proper fraction, is
A

$\frac{1}{2}$

B

$\frac{5}{6}$

C

$\frac{11}{23}$

D

$\frac{13}{35}$

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