No. 4 A preferred customer at a store is offered the choice of a mystery gift pa

Question

No. 4 A preferred customer at a store is offered the choice of a mystery gift package from a group of 12 packages. Unknown to the customer, 3 of the packages contains wallets, 5 contain pocketbooks, and 4 contain toys. If the customer chooses a package at random, what is the probability that it will contain a wallet? No. 5 The Jones and Smith families each have 2 girls and 1 boy. One day, Mrs. Smith announces she will hold a lottery and award a special treat, to 2 of the 6 children. She will write the children's names On 6 cards and draw 2 cards at random to decide the winners. What is the probability that both winners will be from the same family? a) b) What is the probability that both winners will be girls? No. 6 An engineering system has two components that function independently. Suppose P [Component 1 fails] 1 P [Component 2 fails]- 2 Find the probability that the system does not fail in the following situations: a) The components are connected in series; that is, the system works only when both components function Series System b) The components are in parallel, that is the system works if either component function Parallel Systerm

Explanation / Answer

Q 4) The total number of groups of packages = 12

No. of package conatains wallet = 3

No. of package contains pocketbooks = 5

No. of package contains toys = 4

If the customer choose a package , the probability that package contains a wallet is = 3/12 =0.25

Answer: Prob. = 0.25

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