#### 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`

Is there an error in this question or solution?

#### APPEARS IN

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.