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# Probability, Permautations, Combinations

1. 35% of a store's computers come from factory A and the remainder come from factory B.2% of computers from factory A are defective while 1% of computers from factory B are defective. If one of the store's computers is selected at random, what is the probability that it is not defective and from factory A?

2. Two stores sell a certain product. Store A has 35% of the sales, 3% of which are of defective items, and store B has 65% of the sales, 2% of which are of defective items. The difference in defective rates is due to different levels of pre-sale checking of the product. A person receives a defective item of this product as a gift. What is the probability it came from store B?

3. A person ordering a certain model of car can choose any of 6 colors, either manual or automatic transmission, and any of 7 audio systems. How many ways are there to order this model of car?

4. A baseball manager has 12 players of the same ability. How many 9 player starting lineups can he create?

5. How many distinguishable permutations of letters are possible in the word? COMMITTEE

#### Solution Preview

1 35% of a store's computers come from factory A and the remainder come from factory B.2% of computers from factory A are defective while 1% of computers from factory B are defective. If one of the store's computers is selected at random, what is the probability that it is not defective and from factory A?

Out of the total, non defectives from A = 35% x 98% (since 2 % are defective) = 34.3%
Probability that the computer is non defective and from factory A = 34.3%