MHT CET · Maths · Probability
The probability that a person wins a prize on a lottery ticket is \(\frac{1}{4} .\) If he purchases
5 lottery tickets at random, then the probability that he wins at least one prize is
- A \(\frac{121}{1024}\)
- B \(\frac{774}{1024}\)
- C \(\frac{781}{1024}\)
- D \(\frac{223}{1024}\)
Answer & Solution
Correct Answer
(C) \(\frac{781}{1024}\)
Step-by-step Solution
Detailed explanation
\(\operatorname{Var}(x)=E\left(x^{2}\right)-[E(x)]^{2}\)
\(0.96=1-[E(x)]^{2} \Rightarrow[E(x)]^{2}=1-0.96=0.04\)
\(\therefore E(x)=0.2\)
\(0.96=1-[E(x)]^{2} \Rightarrow[E(x)]^{2}=1-0.96=0.04\)
\(\therefore E(x)=0.2\)
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