Multiple choice

A coin is tossed and a marble is drawn from a jar containing 12 marbles numbered 1 to 12. Find the probability of getting either heads or tails on the coin and picking a marble which shows a prime number.

  1. 5 12

  2. 1 3

  3. 1 4

  4. 7 12

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A Correct answer
Explanation

The probability of getting heads or tails is 1. The prime numbers between 1 and 12 are 2, 3, 5, 7, 11 (5 numbers). The probability is 5/12.

AI explanation

The independent events of flipping a coin and drawing a marble mean the individual probabilities must be multiplied, but the outcome of heads or tails is a certainty (1) for the specific side chosen. A jar of 12 marbles contains the prime numbers 2, 3, 5, 7, and 11, giving exactly 5 favorable marbles. The probability of picking a prime marble is 5/12, and multiplying this by 1 yields 5/12.