Cards numbered from 11 to 60 are kept in a box. If a card is drawn at random from the box, find the probability that the number on the drawn cards is
(i) an odd number
(ii) a perfect square number
(iii) divisible by 5
(iv) a prime number less than 20
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(i) Probability of an odd number = 1/2
(ii) Probability of a perfect square number = 2/25
(iii) Probability of a number divisible by 5 = 1/5
(iv) Probability of a prime number less than 20 = 2/25
Step-by-step explanation:
Cards numbered from 11 to 60 are kept in a box.
Total number of outcomes = 50
Number of odd numbers between 11 to 60 = 25
Number of perfect squares between 11 to 60 = 4
Number of multiples of 5 between 11 to 60 = 10
Number of prime numbers less than 20 between 11 to 60 = 4
(i) Probability of an odd number = 25/50 = 1/2
(ii) Probability of a perfect square number = 4/50 = 2/25
(iii) Probability of a number divisible by 5 = 10/50 = 1/5
(iv) Probability of a prime number less than 20 = 4/50 = 2/25
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