1.Cards If you draw a card at random from a well-shuffled deck, is getting an ace independent of the suit? Explain. 2.Pets, again The local animal shelter in Exercise 22 reported that it currently has...

1.Cards If you draw a card at random from a well-shuffled deck, is getting an ace independent of the suit? Explain.

2.Pets, again The local animal shelter in Exercise 22 reported that it currently has 24 dogs and 18 cats available for adoption; 8 of the dogs and 6 of the cats are male. Are the species and sex of the animals independent? Explain.

Exercise 22

Pets 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 a cat.

b) The pet is a cat, given that it is female.

c) The pet is female, given that it is a dog