Multiple choice

A die is rolled and a coin is tossed, find the probability that the die shows an odd number and the coin shows a head.

  1. $\dfrac{1}{2}$
  2. $\dfrac{1}{3}$
  3. $\dfrac{1}{4}$
  4. $\dfrac{1}{5}$
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C Correct answer
Explanation

Probability of odd number on die = 3/6 = 1/2. Probability of head on coin = 1/2. Combined probability = 1/2 * 1/2 = 1/4.

AI explanation

The probability of independent events occurring together is found by multiplying their individual probabilities. The probability of rolling an odd number on a die is 3/6, which simplifies to 1/2. The probability of getting a head on the coin is 1/2. Multiplying 1/2 by 1/2 yields the final probability of 1/4.

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