JKSSB Written 2022
Ram and Shyam toss three unbiased coins simultaneously. Shyam wins if he gets at least two tails.
Answer & Explanation
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Correct Answer:
Option A —
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}}\{\text{Total outcomes}} = {4}{8} = {1}\{2}
Answer verified by Quintessence Classes faculty — Karan Nagar, Srinagar.