Multiple choice

A coin is tossed and a six-sided die is rolled. Find the probability of getting a head on the coin and a $6$ on the die.

  1. $\dfrac{1}{16}$
  2. $\dfrac{1}{12}$
  3. $\dfrac{1}{18}$

  4. None of these
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B Correct answer
Explanation

Probability of Head = 1/2. Probability of rolling a 6 = 1/6. Since these are independent events, the joint probability is 1/2 * 1/6 = 1/12.

AI explanation

The probability of getting a head on the coin and a 6 on the die are independent events, so their combined probability is the product of their individual probabilities. The probability of getting a head is 1/2. The probability of rolling a 6 on a six-sided die is 1/6. Multiplying these two probabilities together gives 1/2 times 1/6, resulting in a final probability of 1/12.

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