jee-main 2022 Q80

jee-main · India · session2_27jul_shift2 Discrete Probability Distributions Binomial Distribution Identification and Application

A six faced die is biased such that $3 \times P ($ a prime number $) = 6 \times P ($ a composite number $) = 2 \times P ( 1 )$. Let $X$ be a random variable that counts the number of times one gets a perfect square on some throws of this die. If the die is thrown twice, then the mean of $X$ is
(1) $\frac { 3 } { 11 }$
(2) $\frac { 5 } { 11 }$
(3) $\frac { 7 } { 11 }$
(4) $\frac { 8 } { 11 }$

A six faced die is biased such that $3 \times P ($ a prime number $) = 6 \times P ($ a composite number $) = 2 \times P ( 1 )$. Let $X$ be a random variable that counts the number of times one gets a perfect square on some throws of this die. If the die is thrown twice, then the mean of $X$ is\\
(1) $\frac { 3 } { 11 }$\\
(2) $\frac { 5 } { 11 }$\\
(3) $\frac { 7 } { 11 }$\\
(4) $\frac { 8 } { 11 }$

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