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GATE 2020 CE (CE2) – Question 28

Engineering Mathematics · Probability and Statistics: Probability, conditional probability, descriptive statistics · 1 mark · Numerical answer

A fair coin is tossed 15 times. Find probability of exactly 8 heads, to three decimals.

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Correct answer: .190 to .200

Explanation

Binomial probability is $\binom{15}{8}(1/2)^{15}=6435/32768=0.1963806$. To three decimals, **0.196**.