Multiple choice

A coin is tossed and a dice is rolled. The probability that the coin shows the head and the dice shows 6 is:

  1. ½

  2. 1/6

  3. 1/12

  4. 1/24
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C Correct answer
Explanation

Probability of Head = 1/2. Probability of 6 on a die = 1/6. Since these are independent events, the probability of both is (1/2) * (1/6) = 1/12.

AI explanation

Using the fundamental principle of multiplication for independent events, the probability of getting a head on the coin is 1/2 and the probability of rolling a 6 on the die is 1/6. The combined probability is calculated by multiplying these individual probabilities: 1/2 multiplied by 1/6 equals 1/12. Therefore, the probability that the coin shows head and the die shows 6 is 1/12.

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