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A game of numbers has cards marked with 11, 12, 13, ....., 40. A card is drawn at random. Find the probability that the number on the card drawn is divisible by 7. - Mathematics

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Question

A game of numbers has cards marked with 11, 12, 13, ....., 40. A card is drawn at random. Find the probability that the number on the card drawn is divisible by 7.

Sum
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Solution

Total number of outcomes = 30

The numbers from 11 to 40 that are divisible by 7 are 14, 21, 28 and 35.

So the number of possible outcomes

The probability that the number on the card drawn is divisible by 7

= `"Number of possible outcomes"/"Total number of outcomes"`

= `4/30`

= `2/15`

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