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Chapter REVIEW Algebra 2 CjTi '-5 Name: Date: Period: \ o u may use your calculator to compute the problems, BUT vou must show the expressions vou are calculatina. 1. A baseball coach is determining the batting order for the team. The team has 9 players, but the coach does not want the pitcher to be on e of the first four to bat. How many batting orders are possible? n \ \^^^c^ 2. 3. (^A^r^W-.r- oit-chef- QLOI .too \-r\ How many Afferent 5 digit zip codes can be formed if digits can be repeated? How many if digits cannot be repeated? o^j 100.00 0 b) 30,^^0 If eight basketball teams are in a tournament, find the number of different ways that first, second, and third place can be decided. (Assume there are no ties.) 3 3 ID 4. Find the number of distinguishable permutations of the letters in CINCINNATI. 5D,40J 5. Out of a group of 30 people, determine the number of different committees o f ^ ^ people can be chosen.. 6. If the group of people in problem #5 had 20 women, how many committees of 6 can be chosen if 4 members must be women, 20-1 7. ' ^ ^: «^ : Evaluate 10 1 8. i© 2. 6{ • 5 o4 0 Evaluate 1 6 !3. Find the probability if a card is drawn from a standard 52-card deck and the card is either a ^ _ b @ a j ) l a c k card. (4 suits: red hearts, red diamonds, black spades, and black clubs; 13 cards in each suit that include 3 face cards: King, Queen, and Jack, the numbers 10, 9, 8, 7, 6, 5, 4, 3, 2, and the Ace) 3 -t- u.b; 10. You are playing a game with 2 number cubes. On your first turn you throw the two number cubes and their sum is eyeo.- On your second turn, their sum is greater than 8. What is the probability of this occurring? AND rou^i' O, (39 Ou3 3io d>ki 3>o sio ^ IS j ; ; A standard 6-sided number cube is rolled. Find the probability of the given event: 11. A six br)a number less than 3 is rolled. Prfol) + 1^C^3) i j _ "2 _ - (none i n bo44'. q r o - u ^ ) z 6 12. An odd number or a number divisible by 3 is rolled. ^ '^-3,^ -3 Little Susie has added to her piggy bank. She now has 20 pennies, 20 nickels, 30 dimes, and 15 quarters. She shakes the piggy bank and some coins fall out. •<— cr-e c>- —xrc-.^^ U ( l^iynk oJo»uJ ^ r~ --be I i.c\c>-\S\ 13. What is the probability of getting a penny{^rid)then a quarter? 5 iiq 8^ 14. What is the probability of getting 3 dimes, one after the other? 5? 8^ ^ ?3 47^-^ i4 15. What is the probability of getting a nickel, then dime, and then another nickel? ^ 4 (.i> iO (0 on f i r s r (ujJoe Cc-n (pa. I r u:ir': A •te mo-te even (3+ i) 4 t-S , i ' -r 4o 10 4. I