Multiple choice

A coin is tossed $5$ times. The probability of $2$ heads and $3$ tails is:

  1. $\dfrac{11}{16}$
  2. $\dfrac{5}{16}$
  3. $\dfrac{11}{32}$
  4. $\dfrac{5}{32}$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total outcomes = 2^5 = 32. Favorable outcomes (2 heads) = 5C2 = 10. Probability = 10/32 = 5/16.

AI explanation

The question asks for the probability of getting exactly 2 heads and 3 tails in any order, which has 5 choose 2, or 10, favourable arrangements. The total number of outcomes for tossing a coin 5 times is 2 raised to the power of 5, which is 32. Using the classical probability formula, the calculation is 10 divided by 32. The result is 5/16.

Keep practicing — related questions