Question

12.
A box contains 20 cards numbered from 1 to 20. A card is drawn at random from the box. Find the probability, that the numbes on the drawn card is
(i) divisible by 2 and 3
a prime number​

Answer 1

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Answer 2

Total no. of cards=20

so n(S)=20

Numbes divisible by 2 is 2,4,6,8,10,12,14,16,18,20

so total number divisible by 2 n(E)=10

so P( divisible by 2)=n(E)/n(S)

P(E)= 10/20

P(E)=1/2

Number divisible by 3 is 3,6,9,12,18

so total number divisible by 3 n(E)=5

so P( divisible by 3)=n(E)/n(S)

P(E)=5/20

P(E)= 1/4

A prime number between 1 to 20 is 2,3,5,7,11,13,17,19

so total prime number is 8

so P (prime number)= n(E)/n(S)

P(E)= 8/20

P(E)= 2/5

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