Please label and show your work for each question so i can u

Please label and show your work for each question so i can understand it, Thank you : ]

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1. An urn contains 12 balls indenticial in every respect except color. There are 3 red balls, 7 green balls and 2 blue balls.

A. You draw two balls from the urn, but replace, the first ball before drawing the second. Find the probability that the first ball is red and the second is green.

B. repeat part A, but do not replace the first ball before drawing the second.

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2. A computer package sale comes with two differnt choices of printers and four different choices of monitors. if a store wants to display each package combination that is for sale, how many packages much be displayed.

-Make a tree diagram showing the outcomes for selecting printer and monitor?

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3. The softball coach is determining the batting order for the 9 member team. the cather and the pitcher will bat 5th and 9th, respectively. how many batting orders can the coach form?

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4. A committee consisiting of 12 girls and 8 boys is planning the senior prom. the committee randomly selects 6 members for a sub committee to be in charge of decorating. what is the probability that the subcommittee will have 2 girls and 4 boys?

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5. Suppose a sales rep can travel to boston to new york by plane, train, or bus and from new york to cincinnati by bus, boat, or automobile. draw a tree diagram to show all possible ways he can travel from boston to cincinnati.

Solution

1.

A.

P(first is red) = 3/12

As we replace the ball,

P(second is green) = 7/12

Thus,

P(red then green) = (3/12)*(7/12) = 0.145833333 [answer]

B.

P(first is red) = 3/12

As we do not replace the ball, only 11 remains,

P(second is green) = 7/11

Thus,

P(red then green) = (3/12)*(7/11) = 0.159090909 [answer]

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