Multiple choice

Ram rolls a die and tosses a coin. Find the probability for the coin to show a tails and the die to show a multiple of 4?

  1. 1 12

  2. 1 6

  3. 1 3

  4. 5 12

  5. 1 2
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A Correct answer
Explanation

P(tails) = 1/2. Multiples of 4 on a die (1-6) is only {4}, so P(multiple of 4) = 1/6. Combined probability = 1/2 * 1/6 = 1/12.

AI explanation

The probability of the coin showing tails is 1/2. The only multiple of 4 on a standard six-sided die is 4 itself, so the probability of rolling a multiple of 4 is 1/6. Multiplying these independent probabilities gives 1/2 times 1/6, which equals 1/12. The result is 1/12.

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