Ram and Shyam toss three unbiased coins simultaneously. Shyam wins if he gets at least two tails.
Find the probability that Shyam wins.

Question

Ram and Shyam toss three unbiased coins simultaneously. Shyam wins if he gets at least two tails. Find the probability that Shyam wins.

Quintessence Classes · Accepted Answer

The correct answer is 1/2. Calculation: Total Outcomes: When tossing 3 coins, each coin has 2 possibilities (Head or Tail). The total number of outcomes is 2 times 2 times 2 = 8.The sample space is: {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}. Favorable Outcomes:  Shyam wins if he gets at least two tails (meaning 2 tails or 3 tails).Outcomes with exactly two tails: {HTT, THT, TTH} (3 outcomes)Outcomes with exactly three tails: {TTT} (1 outcome)Total favorable outcomes = 3 + 1 = 4.Probability:{Probability} = {Number of favorable outcomes}}\{	ext{Total outcomes}} = {4}{8} = {1}\{2}

Answer

2/3

Answer

3/8

Answer

5/8

Ram and Shyam toss three unbiased coins simultaneously. Shyam wins if he gets at least two tails.
Find the probability that Shyam wins.

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