Question

A box contains 20 cards numbered from 1 to 20. A card is drawn at random front
box. Find the probability that the number on the drawn cand is
O divisible by 2 or 3 (i) a prime number​

Answer 1

Step-by-step explanation:

Given : Cards marked with numbers from 1 to 20

Total number of outcomes = 20

(i)Let E1 = Event of getting a number divisible by 2 or 3

Numbers which are divisible by 2 or  3  = 2,3, 4, 6,8, 9, 10,12,14, 15, 16, 18, 20

Number of outcome favourable to E1 = 13

Probability (E1) = Number of favourable outcomes / Total number of outcomes

P(E1) = 13/20  

Hence, the required probability of getting a number divisible by 2 or 3 , P(E1) = 13/20  .

(ii) Let E2 = Event of getting a prime number  

Prime number from 1 to 20 are: 2,3,5,7,11,13,17,19  

Number of outcome favourable to E2 = 8

Probability (E2) = Number of favourable outcomes / Total number of outcomes

P(E2) = 8/20 = 2/5

Hence, the required probability of getting a prime number , P(E2) = 2/5 .

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