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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.

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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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Chapter 25: Probability - Exercise 25 (C) [Page 396]

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Selina Concise Mathematics [English] Class 10 ICSE
Chapter 25 Probability
Exercise 25 (C) | Q 35. (ii) | Page 396
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