SOLUTION: Mr. and Mrs. J. B. Davis just moved into a new home and need to purchase kitchen appliances. The Davises are going to purchase a refrigerator, a stove, and a dishwasher. They hav

Algebra ->  Probability-and-statistics -> SOLUTION: Mr. and Mrs. J. B. Davis just moved into a new home and need to purchase kitchen appliances. The Davises are going to purchase a refrigerator, a stove, and a dishwasher. They hav      Log On


   

Question 130585: Mr. and Mrs. J. B. Davis just moved into a new home and need to purchase kitchen appliances. The Davises are going to purchase a refrigerator, a stove, and a dishwasher. They have a number of choices for each appliance.
For Refrigerator: General Electric, Maytag, Kenmore, Acme For Stove: General Electric, Frigidaire, Roper, Acme For Dishwasher: General Electric, KitchenAid, WhirlPool
Find the probability that they select General Electric for all three appliances.
Answer by solver91311(24713) About Me  (Show Source):
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The strictly mathematical answer:

There are 4 ways to choose a refrigerator, 4 ways to choose a stove, and 3 ways to choose a dishwasher, so there are 4 X 4 X 3 = 48 possible combinations, only one of which is all three being General Electric. Therefore the probability is 1%2F48.

Now the practical answer:

Unless Mrs. Davis is REALLY weird, she is going to insist that all of her kitchen appliances match. The only brand that is represented in all three sets of selections is General Electric. I would say, from a real life point of view, the probability of selecting all three General Electric appliances is nearly certainty.