When three coins are tossed together the probability that all coins have the same face up is
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UPSC Civil Services preparation
- A1/3
- B1/6
- C1/8
- DNone of theseCorrect
Explanation
To find the probability, we first determine the total number of possible outcomes. When three coins are tossed, each coin has two possible outcomes, Head or Tail. Therefore, the total outcomes are 2 multiplied by 2 multiplied by 2, which equals 8.
The specific outcomes are HHH, HHT, HTH, THH, HTT, THT, TTH, and TTT.
The question asks for the probability that all coins have the same face up. This happens in only two cases: all Heads (HHH) or all Tails (TTT).
The number of favorable outcomes is 2.
The probability is calculated by dividing the number of favorable outcomes by the total number of outcomes. This gives 2 divided by 8, which simplifies to 1/4.
Since 1/4 is not listed in options A, B, or C, the correct answer is D, None of these.
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