Question

Vera examined a random sample of deodorants distributed by her company. She found the following probabilities:

Answer 1

P(for men | botanic) = 5/18

Answer 2

Answer:

0.28

Step-by-step explanation:

We are given that

P(for men)=0.55

P(Botanic scent)=0.18

P(for men and botanic )=0.05

We have to find the probability that a deodorant is for men given that it has a botanic scent.

i.eP(For men/Botanic scent)

Conditional probability:$P(A/B)=\frac{P(A\cup B)}{P(B)}$

Using the formula

P((For men/Botanic scent)=$\frac{P(For\;men\;and\;botanic)}{P(botanic\;scent)}$

P(For men/Botanic scent)=$\frac{0.05}{0.18}$

P(For men/Botanic scent)=0.28