Question
Mathematics Question on integral
Cards numbered from 107 to 1006 are put in a bag. A card is drawn from it at random. Find the probability that the number on the card is not divisible both by 11 and 37?
A
(A) 0.988
B
(B) 0.998
C
(C) 0.978
D
(D) 0.968
Answer
(B) 0.998
Explanation
Solution
Explanation:
Given,Number between 107 to 1006=900Number of possible outcomes =n(S)=900Numbers from 107 to 1006 divisible by 11 and 37 both ={407,814} =2Numbers on cards not divisible by both 11 and 37n(E)=900−2=898∴ Probability =n(E)( Favourable Events )n(S)( Possible outcomes )=898900=0.998Hence, the correct option is (B).