Question

A box contains 100 cards numbered from 1 to 100.One card is drawn at random find the probability that the card drawn is a number divisible by 9 and perfect square

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Answer 1

Answer:

Single digit number cards = {1,2,3,4,5,6,7,8,9}=9

Total cards = 100

So, Probability of getting single digit number = \frac{9}{100}

100

9

Perfect square number cards = {1, 4, 9, 16, 25, 36, 49, 64, 81, 100} =10

So, probability of getting number which is a perfect square = \frac{10}{100}=\frac{1}{10}

100

10

=

10

1

Number which is divisible by 7={7,14,21,28,35,42,49,56,63,70,77,84,91,98}=14

So, probability of getting number which is divisible by 7 = \frac{14}{100}=\frac{7}{50}

100

14

=

50

7