Multiple choice

A coin and a six faced die, both unbiased, are thrown simultaneously. The probability of getting a head on the coin and an odd number on the die is

  1. $1/2$
  2. $3/4$
  3. $1/4$
  4. $2/3$
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C Correct answer
Explanation

Probability of Head = 1/2. Probability of odd number on a 6-faced die (1, 3, 5) = 3/6 = 1/2. Since these are independent events, the combined probability is 1/2 * 1/2 = 1/4.

AI explanation

A fair coin has 1 favorable outcome for a head out of 2 possible outcomes, and a six faced die has 3 favorable odd outcomes (1, 3, 5) out of 6 possible outcomes. Because the coin and die are independent, we multiply their individual probabilities using the product rule. The combined probability is 1/2 multiplied by 3/6, which equals 1/4.

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