Question

10. a) From the number cards numbered from 1 to 30, a cad is drawn at random. Find
probabilities of the following events.
(i) The number is either divisible by 4 or by 5)
(ii) The number is either divisible by 5 or by 6.
(iii) The number is either a multiple of 3 or a multiple of 4.
(iv) The number is either a prime or an even number.​

Answer 1

Step-by-step explanation:

10. a)(i) Numbers either divisible by 4 or by 5 are - 4, 5, 8, 10, 12, 15, 16, 20, 24, 25, 28, 30 = 12

Their probability = $\frac{12}{30}$ =  $\frac{2}{5}$  (Ans)

(ii) Numbers either divisible by 5 or by 6 are - 5, 6, 10, 12, 15, 18, 20, 24, 25, 30 = 10

Their probability = $\frac{10}{30}$ =  $\frac{1}{3}$ (Ans)

(iii) Numbers either a multiple of 3 or multiple of 4 are - 3, 4, 6, 8, 9, 12, 15, 16, 18, 20, 21, 24, 27, 28, 30 = 15

Their probability = $\frac{15}{30}$ = $\frac{1}{2}$ (Ans)

(iv) Numbers either prime or even number are = 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 16, 17, 18, 19, 20, 22, 23, 24, 26, 28, 29, 30 = 24

Their probability = $\frac{24}{30}$ = $\frac{4}{5}$ (Ans)