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Introduction To Mathematical Modelling

Question
CBSEENMA9004001

A survey of 500 families was conducted to know their opinion about a particular detergent powder. If 375 families liked the detergent powder and the remaining families disliked it, find the probability that a family chosen at random

(i)  likes the detergent powder
(ii)  does not like it.

Solution

Total number of families = 500

(i) Number of families who like the detergent powder = 375
∴ Probability that a family chosen at random likes the detergent powder 
equals 375 over 500 equals 3 over 4

(ii) Number of families who dislike the detergent powder = 500 – 375 = 125
∴ Probability that a family chosen at random does not like the detergent powder
equals 125 over 500 equals 1 fourth