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

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2 Answers
Mar 27, 2017

#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%#

Mar 27, 2017

# 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 %#