Question

A bag contains 50 cards. Each card bears only one number from 1 to 50. One card is drawn at randomfrom the bag. Write the sample space. Also write the events A, B and find the number of sample points in them. 

(i) Condition for event A : the number on the card is divisible by 6. 

(ii) Condition for event B : the number on the card is a complete square.

Answer 1

S = {1, 2, 3, . . . 49, 50}, n(S) = 50 

(i) Condition for event A : number is divisible by 6. 

A = {6, 12, 18, 24, 30, 36, 42, 48} n(A) = 8 

(ii) Condition for event B : the number on the card is a complete square. 

B = {1, 4, 9, 16, 25, 36, 49} n(B) = 7