P(vanilla) =0.3 P(sundae)=0.2 P(vanilla and sundae) =0.15 find the probability that a customer ordered vanilla ice cream given they ordered a sundae. P(vanilla | sundae) =?

Respuesta :

Answer:

0.75

Step-by-step explanation:

P(A | B) = P(A and B) / P(B)

P(vanilla | sundae) = P(vanilla and sundae) / P(sundae)

P(vanilla | sundae) = 0.15 / 0.2

P(vanilla | sundae) = 0.75

the probability that a customer ordered vanilla ice cream given they ordered a sundae is 0.75

Given :

P(vanilla) =0.3,  P(sundae)=0.2,  P(vanilla and sundae) =0.15

we need to find the probability that a customer ordered vanilla ice cream given they ordered a sundae.

[tex]P(vanilla | sundae)=\frac{P(vanilla \; and \; sundae)}{P(sundae)}[/tex]

Substitute the values  and find the probability

[tex]P(vanilla | sundae)=\frac{ 0.15}{0.2}=0.75[/tex]

[tex]P(vanilla | sundae)=0.75[/tex]

the probability that a customer ordered vanilla ice cream given they ordered a sundae is 0.75

Learn more : brainly.com/question/10567654