Multiple choice

A coin is tossed $5$ times. What is the probability that head appears an even number of times?

  1. $\cfrac{2}{5}$
  2. $\cfrac{3}{5}$
  3. $\cfrac{4}{15}$
  4. $\cfrac{1}{2}$
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D Correct answer
Explanation

For a fair coin tossed n times, the probability of getting an even number of heads is 1/2.

AI explanation

For 5 tosses of a fair coin, the probability of getting an even number of heads includes getting exactly 0, 2, or 4 heads. Using the binomial distribution, these probabilities are 1/32, 10/32, and 5/32 respectively. Adding these gives 16/32, which simplifies to 1/2. The result is 1/2.

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