Multiple choice

Twenty five coins are tossed simultaneously. The probability that the fifth coin will fall head upwards is

  1. $ \displaystyle \dfrac{5}{2^{25}} $
  2. $ \displaystyle \dfrac{1}{2} $
  3. $ \displaystyle \dfrac{5}{125} $

  4. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The outcome of each coin toss is independent. The probability of any specific coin (including the fifth) landing heads is always 1/2.

AI explanation

Because the outcome of the fifth coin is entirely independent of the other 24 coins tossed, its probability of landing heads up remains unchanged. The probability of any single fair coin landing heads up is 1/2, regardless of how many other coins are tossed simultaneously. Therefore, the probability that the fifth coin falls heads upwards is 1/2.

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