Statistics and Probability: JEE Main 2022 Mathematics question

JEE Main 2022 · 27 Jul, Evening shift · Q5002

JEE Main 202227 Jul, Evening shiftMathematicsMediumStatistics and Probability258× since 2002

A six faced die is biased such that

3 \times \mathrm{P}(

a prime number

)\,=6 \times \mathrm{P}(

a composite number

)\,=2 \times \mathrm{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 :