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Probability question

2022 · 27 Jul · Shift 2 · Q33
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  5. /2022 · 27 Jul · Shift 2 · Q33

Probability question

2022 · 27 Jul · Shift 2 · Q33

JEE MainMathematicsProbabilityMCQ+4 / −1
A six faced die is biased such that 3×P(3 \times \mathrm{P}(3×P( a prime number ) =6×P()\,=6 \times \mathrm{P}()=6×P( a composite number ) =2×P(1))\,=2 \times \mathrm{P}(1))=2×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. A
    311\frac{3}{11}113​
  2. B
    511\frac{5}{11}115​
  3. C
    711\frac{7}{11}117​
  4. D
    811\frac{8}{11}118​
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