Mathematics · 2022
JEE Main · 27 July 2022, Shift 2 · Q17
A six faced die is biased such that 3 × P (a prime number) =6 × P (a composite number) =2 × P (1). Let X be a random variable that counts the number…
A six faced die is biased such that
$\displaystyle 3 \times \mathrm{P}$ (a prime number) $\displaystyle =6 \times \mathrm{P}$ (a composite number) $\displaystyle =2 \times \mathrm{P}(1)$.
Let $\displaystyle X$ 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 :
Official answer
(4)
$\displaystyle \frac{8}{11}$
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.