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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.

Respuesta :

P(for men | botanic) = 5/18

lublana

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:[tex]P(A/B)=\frac{P(A\cup B)}{P(B)}[/tex]

Using the formula

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

P(For men/Botanic scent)=[tex]\frac{0.05}{0.18}[/tex]

P(For men/Botanic scent)=0.28

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