Question

What is the probability that the person visited the gift shop, given that the person did not watch the film?

Answer 1

`19.6%`

Explanation:

`G` = visited the giftshop

`~F` = did not watch the film

We've been asked for `P(G| ~F)`

`P(G| ~F) = (P(G nn ~F))/(P( ~F)`

`= 0.10/0.51 + 10/51 ~~ 0.196 = 19.6%`

Answer 2

`P("visited gift shop" | "did not watch the film") = 19.6 %`

Explanation:

By the definition of conditional probability we have:

`P("visited gift shop" | "did not watch the film")`
`" " = (P("visited gift shop" nn "did not watch the film")) / (P("did not watch the film"))`
`" " = 0.1 / 0.51`
`" " = 0.1960784 ...`
`" " = 19.6 %`