AP EAPCET 2025 - 23rd May Evening Shift | Probability Question 28 | Mathematics

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 $P(X<3)=$

$\frac{23}{256}$

$\frac{65}{256}$

$\frac{5}{256}$

$\frac{45}{512}$

AP EAPCET 2025 - 23rd May Morning Shift

MCQ (Single Correct Answer)

-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

$\frac{21}{764}$

$\frac{14}{745}$

$\frac{7}{744}$

$\frac{7}{736}$

AP EAPCET 2025 - 23rd May Morning Shift

MCQ (Single Correct Answer)

-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

$\frac{8}{35}$

$\frac{27}{35}$

$\frac{1679}{1680}$

$\frac{1}{1680}$

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