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1
MHT CET 2023 12th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

Two cards are drawn successively with replacement from a well shuffled pack of 52 cards. Then the probability distribution of number of jacks is

A
$$\mathrm{X}=x$$ 0 1 2
$$\mathrm{P(X}=x)$$ $$\frac{144}{169}$$ $$\frac{24}{169}$$ $$\frac{1}{169}$$
B
$$\mathrm{X}=x$$ 0 1 2
$$\mathrm{P(X}=x)$$ $$\frac{1}{169}$$ $$\frac{144}{169}$$ $$\frac{24}{169}$$
C
$$\mathrm{X}=x$$ 0 1 2
$$\mathrm{P(X}=x)$$ $$\frac{24}{169}$$ $$\frac{1}{169}$$ $$\frac{144}{169}$$
D
$$\mathrm{X}=x$$ 0 1 2
$$\mathrm{P(X}=x)$$ $$\frac{144}{169}$$ $$\frac{1}{169}$$ $$\frac{24}{169}$$
2
MHT CET 2023 12th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

$$\mathrm{A}$$ and $$\mathrm{B}$$ are independent events with $$\mathrm{P}(\mathrm{A})=\frac{1}{4}$$ and $$\mathrm{P}(\mathrm{A} \cup \mathrm{B})=2 \mathrm{P}(\mathrm{B})-\mathrm{P}(\mathrm{A})$$, then $$\mathrm{P}(\mathrm{B})$$ is

A
$$\frac{1}{4}$$
B
$$\frac{3}{5}$$
C
$$\frac{2}{3}$$
D
$$\frac{2}{5}$$
3
MHT CET 2023 11th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

Two cards are drawn successively with replacement from a well-shuffled pack of 52 cards. Then mean of number of tens is

A
$$\frac{1}{13}$$
B
$$\frac{1}{169}$$
C
$$\frac{2}{13}$$
D
$$\frac{4}{169}$$
4
MHT CET 2023 11th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

A fair die is tossed twice in succession. If $$\mathrm{X}$$ denotes the number of fours in two tosses, then the probability distribution of $$\mathrm{X}$$ is given by

A
$$\mathrm{X}=x_i$$ 0 1 2
$$\mathrm{P_i}$$ $$\frac{1}{36}$$ $$\frac{25}{36}$$ $$\frac{5}{18}$$
B
$$\mathrm{X}=x_i$$ 0 1 2
$$\mathrm{P_i}$$ $$\frac{25}{36}$$ $$\frac{1}{36}$$ $$\frac{5}{18}$$
C
$$\mathrm{X}=x_i$$ 0 1 2
$$\mathrm{P_i}$$ $$\frac{25}{36}$$ $$\frac{5}{18}$$ $$\frac{1}{36}$$
D
$$\mathrm{X}=x_i$$ 0 1 2
$$\mathrm{P_i}$$ $$\frac{5}{18}$$ $$\frac{1}{36}$$ $$\frac{25}{36}$$
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