Multiple choice

A coin is tossed 4 times, find the probability of getting exact 3 tails.

  1. 1/4

  2. 1/6

  3. 1/3

  4. 1/8
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Total outcomes for 4 tosses = 2^4 = 16. Outcomes with exactly 3 tails: (T,T,T,H), (T,T,H,T), (T,H,T,T), (H,T,T,T). There are 4 such outcomes. Probability = 4/16 = 1/4.

AI explanation

The probability of getting exactly r tails in n tosses of a coin is found using the binomial distribution formula, given by nCr multiplied by (1/2) to the power of n. For 4 tosses and 3 tails, we calculate 4C3 multiplied by (1/2) to the power of 4. This provides 4 multiplied by 1/16, giving a probability of 1/4.

Keep practicing — related questions