Multiple choice

The probability of getting exactly 2 tails in 6 tosses of a fair coin is

  1. 3/8

  2. 1/4

  3. 15/64

  4. 49/64
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A Correct answer
AI explanation

This requires the binomial distribution formula, where the probability of exactly r successes in n trials is given by nCr * p^r * q^(n-r). For exactly 2 tails in 6 tosses, we calculate 6C2 * (1/2)^2 * (1/2)^4. This evaluates to 15 * (1/4) * (1/16) = 15/64.

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