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Question: Answered & Verified by Expert
A die is tossed twice. Getting a number greater than 4 is considered a success. Then the variance of the probability distribution of the number of successes is
MathematicsProbabilityJEE Main
Options:
  • A $\frac{2}{9}$
  • B ${ }^{\frac{4}{9}}$
  • C $)^{\frac{1}{3}}$
  • D None of these
Solution:
2795 Upvotes Verified Answer
The correct answer is: ${ }^{\frac{4}{9}}$
Obviously, $p=\frac{2}{6}=\frac{1}{3} \Rightarrow$ $q=1-\frac{1}{3}=\frac{2}{3}$
also $n=2$. Therefore, variance $=n p q=2 \times \frac{1}{3} \times \frac{2}{3}=\frac{4}{9}$.

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