Question:
In a survey of 364 children aged 19 – 36 months, it was found that 91 liked to eat potato chips. If a child is selected at random, the probability that he / she does not like to eat potato chips is
(a) $\frac{1}{4}$
(b) $\frac{1}{2}$
(c) $\frac{3}{4}$
(d) $\frac{4}{5}$
Solution:
Total number of children surveyed = 364
Number of children who liked to eat potato chips = 91
Number of children who do not liked to eat potato chips = 364 − 91 = 273
$\therefore P($ Child does not like to eat potato chips $)=\frac{\text { Number of children who do not liked to eat potato chips }}{\text { Total number of children surveyed }}=\frac{273}{364}=\frac{3}{4}$
Hence, the correct answer is option (c).