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A bag contains 16 cards numbered 1 through 16. A card is randomly chosen from the bag. What is the probability that the card has a multiple of 3 on it?Write your answer as a fraction in simplest form.

Question

A bag contains 16 cards numbered 1 through 16. A card is randomly chosen from the bag. What is the probability that the card has a multiple of 3 on it?Write your answer as a fraction in simplest form.

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Solution

The multiples of 3 between 1 and 16 are 3, 6, 9, 12, 15. So, there are 5 cards that are multiples of 3.

The total number of cards is 16.

The probability of drawing a card that is a multiple of 3 is therefore the number of cards that are multiples of 3 divided by the total number of cards.

So, the probability is 5/16.

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