Three fair coins are tossed simultaneously. Find the probability of getting…

2023

Three fair coins are tossed simultaneously. Find the probability of getting one head.

  1. A.

    2/3

  2. B.

    3/8

  3. C.

    12/3

  4. D.

    23/8

Attempted by 4 students.

Show answer & explanation

Correct answer: B

Step-by-Step Solution

To find the probability of getting exactly one head when tossing three fair coins, we need to determine the total number of outcomes and the number of favorable outcomes.

  1. Determine Total Possible Outcomes: When tossing three coins, each coin has two possibilities (Head or Tail). The total number of outcomes is 2 * 2 * 2 = 8. The sample space S is: S = {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}

  2. Identify Favorable Outcomes: We are looking for outcomes with exactly one head (H).

    • HTT

    • THT

    • TTH There are 3 favorable outcomes.

  3. Calculate Probability: Probability = (Number of Favorable Outcomes) / (Total Number of Possible Outcomes) Probability = 3 / 8

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