Multiple choice

A box contains $6$ red marbles numbered $1$ through $6$ and $4$ white marbles numbered from $12$ through $15$ . Find the probability that a marble drawn is Even numbered

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

There are 6 red marbles (1-6) and 4 white marbles (12-15). The even numbers are {2, 4, 6} from the red set and {12, 14} from the white set, totaling 5 even marbles. The total number of marbles is 10, so the probability is 5/10 = 1/2.

AI explanation

The box contains a total of 10 marbles, with numbers 1, 2, 3, 4, 5, 6, 12, 13, 14, and 15. The even numbered marbles are 2, 4, 6, 12, and 14, providing 5 favorable outcomes. The required probability is 5 divided by 10, which equals 1 divided by 2.

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