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Question

Mathematics Question on Probability

Let 𝑆=𝑤1,𝑤2,…….𝑆={𝑤_1,𝑤_2,…….} be the sample space associated to a random experiment. Let 𝑃(𝑤𝑛)=𝑃(𝑤𝑛−1)2,𝑛≥2.𝑃(𝑤_𝑛)= \frac{𝑃(𝑤_{𝑛−1})}{2} ,𝑛≥2. Let 𝐴=(2𝑘+3𝑙:k,𝑙∈N){(2𝑘+3𝑙:k,𝑙∈ℕ)} and 𝐵=𝑤𝑛:𝑛∈𝐴𝐵={𝑤_𝑛:𝑛∈𝐴}. Then 𝑃( 𝐵) is equal to

A

364\frac3{64}

B

116\frac1{16}

C

132\frac1{32}

D

332\frac3{32}

Answer

364\frac3{64}

Explanation

Solution

The Correct Option is (A):364\frac3{64}