1
AP EAPCET 2024 - 23th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
It is given that in a random experiment events $A$ and $B$ are such that $P(A)=\frac{1}{4}, P(A / B)=\frac{1}{2}$ and $P(B / A)=\frac{2}{3}$, then $P(B)$ is equal to
A
$1 / 3$
B
$2 / 3$
C
$1 / 2$
D
$1 / 6$
2
AP EAPCET 2024 - 23th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

The probability that $A$ speaks truth is $75 \%$ and the probability that $B$ speaks truth is $80 \%$. The probability that they contradict each other when asked to speak on a fact is

A
$\frac{3}{20}$
B
$\frac{4}{20}$
C
$\frac{7}{20}$
D
$\frac{5}{20}$
3
AP EAPCET 2024 - 23th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
Bag $A$ contains 2 white and 3 red balls and bag $B$ contains 4 white and 5 red balls. If one ball is drawn at random from one of the bags and is found to be red, then the probability that it was drawn from the bag $B$ is
A
$\frac{23}{54}$
B
$\frac{25}{51}$
C
$\frac{25}{52}$
D
$\frac{27}{55}$
4
AP EAPCET 2024 - 23th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If the probability distribution of a random variable $X$ is as follows, then $k$ is equal to

$$ \begin{array}{c|l|l|l|l} \hline X=x & 1 & 2 & 3 & 4 \\ \hline P(X=x) & 2 k & 4 k & 3 k & k \\ \hline \end{array} $$

A
$\frac{1}{10}$
B
$\frac{2}{10}$
C
$\frac{3}{10}$
D
$\frac{4}{10}$
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