Multiple choice

An unbiased coin is tossed n times. If the probability of getting at least one head is equal to the probability of getting at least one tail, then n equals:

  1. 1

  2. 2

  3. 3

  4. Any positive integer
Reveal answer Fill a bubble to check yourself
B Correct answer
AI explanation

The probability of getting at least one head in n tosses is 1 - (1/2)^n, and the probability of getting at least one tail is 1 - (1/2)^n. Setting these equal gives 1 - (1/2)^n = 1 - (1/2)^n, which simplifies to (1/2)^n = (1/2)^n. This equality holds true for any positive integer n.

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