1
AP EAPCET 2024 - 20th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
Two digits are selected at random from the digits 1 through 9. If their sum is even, then the probability that both are odd, is
A
$\frac{3}{8}$
B
$\frac{1}{2}$
C
$\frac{5}{8}$
D
$\frac{3}{4}$
2
AP EAPCET 2024 - 20th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
A, B and C are mutually exclusive and exhaustive events of a random experiment and $E$ is an event that occurs in conjunction with one of the events $\mathrm{A}, \mathrm{B}$ and $C$. The conditional probabilities of $E$ given the happening of $A, \mathrm{~B}$ and C are respectively $0.6,0.3$ and 0.1. If $P(A)=0.30$ and $P(B)=0.50$, then $P(C / E)=$
A
$\frac{2}{35}$
B
$\frac{15}{35}$
C
$\frac{18}{35}$
D
$\frac{17}{35}$
3
AP EAPCET 2024 - 20th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
For the probability distribution of a discrete random variable $X$ as given below, then mean of $X$ is
X = x -2 -1 0 1 2 3
P(X = x) $$
\frac{1}{10}
$$
$$
K+\frac{2}{10}
$$
$$
K+\frac{3}{10}
$$
$$
K+\frac{3}{10}
$$
$$
K+\frac{4}{10}
$$
$$
K+\frac{2}{10}
$$
A
$\frac{3}{5}$
B
$\frac{4}{5}$
C
$\frac{6}{5}$
D
$\frac{8}{5}$
4
AP EAPCET 2024 - 20th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
In a random experiment, two dice are thrown and the sum of the numbers appeared on them is recorded. This experiment is repeated 9 times. If the probability that a sum of 6 appears atleast once is $P_1$ and a sum of 8 appears atleast once is $P_2$, then $P_1: P_2=$
A
$4: 3$
B
$3: 1$
C
$1: 2$
D
$1: 1$
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