9a. If a die is rolled 30 times, there are 630 different sequences possible. The following question asks how many of these sequences satisfy certain conditions. What fraction of these sequences have exactly seven 3s and seven 2s? (Round your answer to five decimal places.)

9a. If a die is rolled 30 times, there are 630 different sequences possible. The following question asks how many of these sequences satisfy certain conditions. What fraction of these sequences have exactly seven 3s and seven 2s? (Round your answer to five decimal places.)

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.5: Counting Principles

Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...

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9a. If a die is rolled 30 times, there are 6³⁰different sequences possible. The following question asks how many of these sequences satisfy certain conditions.

What fraction of these sequences have exactly seven 3s and seven 2s? (Round your answer to five decimal places.)

9b. A poker hand consists of 5 cards from a standard deck of 52. Find the number of different poker hands of the specified type.

two pairs with exactly one pair being fours (two fours, two of another denomination, and one of a third)

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