Multiple choice

One die and one coin are tossed simultaneously the probability of getting 6 on die and head on coin is

  1. $\displaystyle \frac{1}{2}$
  2. $\displaystyle \frac{1}{6}$
  3. $\displaystyle \frac{1}{12}$

  4. None of these
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C Correct answer
Explanation

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

AI explanation

When a die and a coin are tossed simultaneously, the total number of possible outcomes is 6 multiplied by 2, equaling 12. The probability of getting a 6 on the die is 1/6 and the probability of getting a head on the coin is 1/2. By the multiplication rule for independent events, the combined probability is 1/6 multiplied by 1/2, resulting in 1/12.

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