Exercise 5 A deck of cards contains 13 different numbered hearts and 26 different black cards. a) How many different card pairs are there with one heart and one black card? b) What if one card in the chosen pair is on top and the other is on the bottom? c) Can you think of two different ways to calculate part b? d) Why are the answers different in parts a and b? 4. a) 15 b) 225 c) 375 5. a) 338 b) 676 c) The heart is on the bottom and the black card on top, or the black card on the bottom and the heart on top: 13 26+26 13 = 676. The heart is chosen in 13 ways, the black card in 26 ways, and the card on the bottom in 2 ways: 13.26-2 = 676. d) Because in part b, the order in which the cards are drawn matters. 6. a) 72 b) 102 c) 2, 3 and 5 7. a) 128 b) 64 c) 63

Exercise 5 A deck of cards contains 13 different numbered hearts and 26 different black cards. a) How many different card pairs are there with one heart and one black card? b) What if one card in the chosen pair is on top and the other is on the bottom? c) Can you think of two different ways to calculate part b? d) Why are the answers different in parts a and b? 4. a) 15 b) 225 c) 375 5. a) 338 b) 676 c) The heart is on the bottom and the black card on top, or the black card on the bottom and the heart on top: 13 26+26 13 = 676. The heart is chosen in 13 ways, the black card in 26 ways, and the card on the bottom in 2 ways: 13.26-2 = 676. d) Because in part b, the order in which the cards are drawn matters. 6. a) 72 b) 102 c) 2, 3 and 5 7. a) 128 b) 64 c) 63

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.6: Counting Principles

Problem 9ECP: In three-card poker, a hand consists of three cards dealt from a deck of 52. How many different...

See similar textbooks

Similar questions

How many different signals can be sent, when three flags are used, if two of the 9 flags are missing?
In how many different ways can two letters be chosen from the letters A, B, C, D, E, F, and G? (The order of the two letters is not important.)
In how many ways can 10 teenagers be seated at a round table if 2 girls wish to sit with their boyfriends.
Over the past year, John has purchased 30 books. a In how many ways can he pick four of these books and arrange them, in order, on his nightstand bookshelf? b In how many ways can he choose four of these books to take with him on his vacation at the shore?
In three-card poker, a hand consists of three cards dealt from a deck of 52. How many different three-card poker hands are possible? (Order is not important.)
How many distinguishable words can be formed from the letters of the word casserole if each letter is used exactly once?
A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in the front and 3 in the back a. How many arrangements are possible with no restrictions? b. How many arrangements are possible if the parents must sit in the front? C. How many arrangements are possible if the parents must be next to each other?
In how many ways can 5 people stand in a line if one person demands to be first?
Is it possible that P(AB)=P(A)? Explain.