Multiple choice

A coin is tossed five times, find the probability of getting $4$ heads.

  1. $\dfrac{5}{32}$
  2. $\dfrac{1}{32}$
  3. $0.4$
  4. $0.25$
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A Correct answer
Explanation

Binomial probability: P(X=4) = 5C4 * (1/2)^4 * (1/2)^1 = 5 * (1/16) * (1/2) = 5/32.

AI explanation

Using the binomial probability formula, the probability of getting exactly r successes in n trials is (nCr) multiplied by (p to the power of r) multiplied by (q to the power of (n minus r)). Here, n is 5, r is 4, and the probability of heads (p) is 1/2, so we calculate 5C4 times (1/2)^4 times (1/2)^1. This gives 5 times 1/16 times 1/2, resulting in 5/32.

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