Question 13 Marks
In a survey of $100$ ladies it was found that $36$ like coffee while $64$ dislike it. Out of these ladies, one is chosen at random. What is the probability that the choszen lady $(i)$ likes coffee,$ (ii)$ dislikes coffee?
Answer
View full question & answer→Total number of ladies surveyed $= 100$
Ladies who like coffee $= 36$
Ladies who do not like coffee $= 64$
$i.$ Probability of choosing a lady who likes coffee $=\frac{\text{Number of ladies who like coffee}}{\text{Total number of ladies}}=\frac{36}{100}=\frac{9}{25}$
$ii.$ Probability of choosing a lady who dislikes coffee $=\frac{\text{Number of ladies who dislike coffee}}{\text{Total number of ladies}}=\frac{64}{100}=\frac{16}{25}$
Ladies who like coffee $= 36$
Ladies who do not like coffee $= 64$
$i.$ Probability of choosing a lady who likes coffee $=\frac{\text{Number of ladies who like coffee}}{\text{Total number of ladies}}=\frac{36}{100}=\frac{9}{25}$
$ii.$ Probability of choosing a lady who dislikes coffee $=\frac{\text{Number of ladies who dislike coffee}}{\text{Total number of ladies}}=\frac{64}{100}=\frac{16}{25}$