Multiple choice

A coin is tossed and a dice is rolled. Find the probability of getting a heads on the coin and a 5 on the dice.

  1. 1/12

  2. 1/6

  3. 1/2

  4. 2/3

  5. None of these
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A Correct answer
Explanation

The probability of getting heads on a coin is 1/2. The probability of rolling a 5 on a standard die is 1/6. Since these are independent events, the joint probability is (1/2) * (1/6) = 1/12.

AI explanation

This is an example of independent events, where the probability of both occurring is the product of their individual probabilities. The probability of getting a head on the coin is 1/2, and the probability of rolling a 5 on the die is 1/6. Multiplying these gives 1/2 times 1/6, which equals 1/12. The result is 1/12.

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