1. Select a 6-card hand from a deck of 56 cards. The deck has the usual 52 cards plus 4 extra cards that represent 4 different rivers in the world (the Amazon, the Nile, the Delaware, and the Thames). Note: By "usual 52 cards" is meant the 52 card standard deck that is pictured in your textbook. Do not simplify your answers, leave in combinatorics form. Find the following probabilities. a. The hand contains all 4 rivers plus two hearts b. The hand contains 5 cards from the same suit (heart, diamond, spade, or club) plus 1 of the river cards. c. The hand contains a 2, 3, 4, 5, and 6. The card can be of any suit. e.g. a 2 of diamonds,3 of hearts etc. The sixth card is one of the river cards.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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1. Select a 6-card hand from a deck of 56 cards. The deck has the usual 52 cards plus 4 extra
cards that represent 4 different rivers in the world (the Amazon, the Nile, the Delaware, and
the Thames). Note: By "usual 52 cards" is meant the 52 card standard deck that is pictured in
your textbook. Do not simplify your answers, leave in combinatorics form. Find the following
probabilities.
a. The hand contains all 4 rivers plus two hearts
b. The hand contains 5 cards from the same suit (heart, diamond, spade, or club) plus 1
of the river cards.
c. The hand contains a 2, 3, 4, 5, and 6. The card can be of any suit. e.g. a 2 of
diamonds,3 of hearts etc. The sixth card is one of the river cards.
Transcribed Image Text:1. Select a 6-card hand from a deck of 56 cards. The deck has the usual 52 cards plus 4 extra cards that represent 4 different rivers in the world (the Amazon, the Nile, the Delaware, and the Thames). Note: By "usual 52 cards" is meant the 52 card standard deck that is pictured in your textbook. Do not simplify your answers, leave in combinatorics form. Find the following probabilities. a. The hand contains all 4 rivers plus two hearts b. The hand contains 5 cards from the same suit (heart, diamond, spade, or club) plus 1 of the river cards. c. The hand contains a 2, 3, 4, 5, and 6. The card can be of any suit. e.g. a 2 of diamonds,3 of hearts etc. The sixth card is one of the river cards.
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