An appliance store is offering a special price on a complete set of kitchen appl

Question

An appliance store is offering a special price on a complete set of kitchen appliances (refrigerator, oven, stove, dishwasher). A purchaser is offered a choice of manufacturer for each component:

Refrigerator: Kenmore, GE, LG, Whirlpool Oven: KitchenAid, Samsung, Frigidaire, Kenmore Stove: Electrolux, Hotpoint, GE
Dishwasher: Bosch, Silhouette, Premier, Whirlpool

Use the product rules to answer the following questions: c. If someone randomly chooses their appliances, what is the probability that at least one Kenmore component is chosen? THE ANSWER IS 0.4375, BUT HOW?!

Explanation / Answer

c. If someone randomly chooses their appliances, what is the probability that at least one Kenmore component is chosen

= 1- P( no one chooses Kenmore )

Probability of not choosing Kenmore Refrigerator =3/4

Probability of not choosing Kenmore Oven =3/4

Probability of not choosing Kenmore Stove = 1

Probability of not choosing Kenmore Dishwater = 1

= 1- (.75)(.75)(1)(1) [ here we use the product propoerty of probability]

= .4375

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