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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 - ICSE Class 10 - Mathematics

ConceptSimple Problems on Single Events

#### 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 :

1) A perfect square

2) Divisible by 7

#### Solution

Total number of outcomes = 30

1) The perfect squares lying between 11 and 40 are 16, 25 and 36.

So the number of possible outcomes 3

∴ Probability that the number on the card drawn is a perfect square

= "Number of possible outcomes"/"Total number of outcomes" = 3/30  = 1/10

2) 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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#### APPEARS IN

2015-2016 (March) (with solutions)
Question 4.1 | 3.00 marks

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Solution 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 Concept: Simple Problems on Single Events.
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