Aslandard deck of cards 1B clubs, 13 diannds, contains 13hearts and 13 Spader Iffive cards are Fandomly selected, fiñd the probabrli Ty of geltmg obtened when a ll flesh CAFlush is pive cards are of the Same sit That are all claibs orall dhomonds or all heai allspades or

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.1: Counting
Problem 84E
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Aslandard deck of cards
1B clubs, 13 diannds,
contains
13hearts and 13
Spader Iffive cards are Fandomly
selected, fiñd the probabrli Ty of geltmg
obtened when a ll
flesh CAFlush is
pive cards are of the Same sit That
are all claibs orall dhomonds
or all heai
allspades
or
Transcribed Image Text:Aslandard deck of cards 1B clubs, 13 diannds, contains 13hearts and 13 Spader Iffive cards are Fandomly selected, fiñd the probabrli Ty of geltmg obtened when a ll flesh CAFlush is pive cards are of the Same sit That are all claibs orall dhomonds or all heai allspades or
Expert Solution
Step 1

a) The total number of ways to select 5 cards from a deck of 52 cards is,

Statistics homework question answer, step 1, image 1

The number of ways to obtain a flush is,

Statistics homework question answer, step 1, image 2

Step 2

b) According to the provided data, there are 7 women and 9 men.

(i) The ways to select a committee of five members of the department if at least one woman must be on the committee is,

Committees with any number of men/women:

Total number of people, n = 9+7 = 16

Members to be selected, r = 5

The possible number of ways;

Statistics homework question answer, step 2, image 1

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