In its monthly report, the local animal shelter states that it currently has 24 dogs and 18 cats available for adoption. eight of the dogs and 6 of the cats are male. find each of the following conditional probabilities if an animal is selected at random: a) the pet is male, given that it is cat. b) the pet is a cat, given that it is female. c) the pet is female, given that it is a dog.

Answer with Step-by-step explanation:

We are given that

Total dogs=24

Total cats=18

Total animals=24+18=42

Male dogs=8

Male cats=6

Total male animals=8+6=14

Total female animals=42-14=28

Female cats=18-6=12

Dogs female=24-8=16

a.We have to find the probability that the pet is male, given that it is cat.

It means we have to find P(Male/cat)  

Conditional probability:

P(Cat)=

P(male/cat)=

b.

c.P(Dog)=

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