1. The manager at the local auto shop has found that the probability that a car brought into the shop requires an oil change is 0.66, the probability that a car brought into the shop requires brake repair is 0.34, and the probability that a car requires both an oil change and brake repair is 0.22. For a car brought into the shop, determine the probability that the car will require an oil change or brake repair. The probability that the car requires an oil change or brake repair is 2.Consider a collect of envelopes consisting of 1 red envelopes, 1 blue envelope, 2 green envelopes,and 1 yellow envelopes. If two envelopes are selected at random, with replacement determine the probability that both are blue envelopes. The probability that both envelopes are blue is 3.Suppose you draw a card from a well-shuffled deck of 52 cards. What is the probability of drawing a 4 or a green? P(4 or queen) 4. Find the indicated probability. If P(AorB)=0.6, P(A)=0.4 and P(A and B)=0.35, find P(B) P(B) 5.If two states are selected at random from a group of 30 states, determine the number of possible outcomes if the group of states is selected with replacement or without replacement. If the states are selected with replacement, there are possible outcomes. 6.According to a life insurance company mortality table, the probability that a woman of a certain age will survive 1 years is 0.998, the probability that she will die within 1 year is 0.02. If she buys $10,000, 1-year policy for $100, what is the company's expected gain or loss? Select the correct choice: a. The company has an expected loss of b. The company has an expected gain of c. The company has neither an expected gain nor an expected loss 7. Assume you are blindfolded and throw a dart at the board shown. Assuming your dart sticks in the dart board and not on a line answer parts and and b. Chart triangle: $4, $4, $50, $100, $20 A determine the pro babies that the dart lands on $4, $20, $50 and $100 b. If you win the amount of money indicated by the section of the board where dart lands find your expectation when you throw the dart. (The Probability that the dart lands on $4 is. 8. Casey is going to wear a gray sports coat and is trying to decide what tie he should wear work. In this closet, he has 45 ties, 19 of which he feels of the well with the sports coat. If Casey selects one time at random determine the probability and the odds of the going well or not going well with the sports coat. (The probability the tie goes well with jacket) 9. The Triple L investment club is considering purchasing a certain stock. After considerable research, the club members determine that there is a 40% chance of breaking and a 50% chance of losing $6,400. Find the expectation of this purchase. The expected value is 10. Use the following statement to answer parts and-and b. Five hundred raffle tickets are sold for $3 each. One prize of $100 is to be awarded. Raul purchases one ticket. a. determines his expected value b. determines the fair price of a ticket. Four thousand raffle tickets are sold for $2 each. Three prizes will be awarded, one for $1,500 and two for $750. Assume that the probability that any given ticket is selected for the $1,500 prize is 1/4,000 and the probability that any ticket is selected for a $750 prize is 2/4000. Jennifer purchases of these tickets