Multiple choice

A coin is tossed and a die is rolled. The probability that the coin shows head and the die shows $3$ is

  1. $\dfrac{1}{6}$
  2. $\dfrac{1}{12}$
  3. $\dfrac{1}{9}$
  4. $\dfrac{11}{12}$
  5. $\dfrac{1}{11}$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Probability of Head = 1/2. Probability of rolling a 3 on a die = 1/6. Since events are independent, P(H and 3) = (1/2) * (1/6) = 1/12.

AI explanation

Because the coin toss and the die roll are independent events, we use the multiplication rule for independent events by multiplying their individual probabilities. The probability of the coin showing heads is 1/2, and the probability of the die showing 3 is 1/6. Multiplying these gives (1/2) times (1/6), which equals 1/12.

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