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- 12. A bag contains 5 black and 7 white balls. A ball is drawn out of it and replaced in the båg. Then a ball is drawn again. What is the probability that (i) both the balls drawn were black, (ii) both were white, (iii) the first ball was white and the second black, (iv) the first ball was black and the second white.30. The chess clubs of two schools consists of, respectively, 8 and 9 players. four members from each club are randomly chosen to participate in a contest between the two schools. The chosen players from one team are then randomly paired with those from the other team, and each pairing plays a game of chess. Suppose that Rebecca and her sister Elise are on the chess clubs at different schools. What is the probability that exactly one of Rebecca and Elise will be chosen to represent her school? Show the STEP-BY-STEP SOLUTION CLEARLY. SHOW EXPLAMATIONS IF NECESSARY.5. Clarice has 7 new CDs; 3 are classical music and the rest are pop music. If she randomly grabs 3 CDs to listen to in the car on her way to school, what is the probability that she will select only classical music?
- 1. When a single card is drawn from a well-shuffled deck of cards, what is the probability that it will be а. асе? b. red ace? c. a diamond? d. an ace or a diamond? e. ace of diamonds? f. ace given diamond ?6. Janice, Tom, John, and Tamara are trying to decide on who will make dinner and who will wash the dishes afterwards. They randomly pull two names out of a hat to decide, where the first name drawn will make dinner and the second will do the dishes. Determine the probability that the two people pulled will have first names beginning with the same letter. Assume the same person cannot be picked for both.11. As a small business owner, you decide to randomly give two of your loyal customers a $100 gift card each. To decide who gets the gift cards, you write down the names of each loyal customer and draw them out of a hat. You draw two names without replacement so that one person does not get both $100 gift cards. Of the 6 loyal customers you have, 3 live in Georgia. What is the probability that both of the $100 gift cards go to a loyal customer living in Georgia? .2 O.25 O.3 O none of the above are correct
- 12. A bag contains 6 red and 3 white balls. Four balls are drawn out one by one and not replaced. What is the probability that they are alternatively of different colours.7. There are four tickets in a box, numbered from 1 to 4. We draw two without replacement. What is the probability of getting a "1" and a "“2" (in no particular order).6).In the game of blackjack as played in casinos in Las Vegas, Atlantic City, Niagara Falls, as well as many other cities, the dealer has the advantage. Most players do not play very well. As a result, the probability that the average player wins a hand is about 0.48. Find the probability that an average player wins A. twice in 5 hands. Probability = B. 10 or more times in 25 hands. Probability = There are several books that teach blackjack players the "basic strategy" which increases the probability of winning any hand to 0.55. Assuming that the player plays the basic strategy, find the probability that he or she wins C. twice in 5 hands. Probability = D. 10 or more times in 25 hands. Probability =
