Question

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

P(for men)=0.55
P(botanic scent)=0.18
P(for men and botanic)=0.05
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Find the probability that a deodorant is for men, given that it has a botanic scent.

Answer 1

P(for men | botanic) = 5/18

Answer 2

0.28

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)=(P(A\cup B))/(P(B))`

Using the formula

P((For men/Botanic scent)=
`(P(For\;men\;and\;botanic))/(P(botanic\;scent))`

P(For men/Botanic scent)=
`(0.05)/(0.18)`

P(For men/Botanic scent)=0.28