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4) A group consists of 2 men (Al, Bob) and 4 women (Cassandra, Delia, Evelyn, Fiona). You select 3 of the people (without replacement). a) How many different groups of 3 are possible? b) List all the possible groups of 3 c) Find the probability that you select 2 women and 1 man

          4) A group consists of 2 men (Al, Bob) and 4 women (Cassandra, Delia, Evelyn, Fiona). You select 3 of the people (without replacement).
a) How many different groups of 3 are possible?
b) List all the possible groups of 3
c) Find the probability that you select 2 women and 1 man
        
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4) A group consists of 2 men (Al, Bob) and 4 women (Cassandra, Delia, Evelyn, Fiona). You select 3 of the people (without replacement).
a) How many different groups of 3 are possible?
b) List all the possible groups of 3
c) Find the probability that you select 2 women and 1 man

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Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
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A group consists of 2 men Al, Bob, and 4 women Cassandra, Delia, Evelyn, and Fiona. You select 3 of the people (without replacement). a) How many different groups of 3 are possible? b) List all the possible groups of 3. c) Find the probability that you select 2 women and 1 man.
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Transcript

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00:01 We have a group that consists of seven men and five women.
00:05 We're going to select three people to attend a conference.
00:08 How can they do this? well, the order doesn't matter here.
00:12 So for the first part, we're simply going to get a combination of 12 because there's 12 people, and we're going to pick three.
00:19 So that would be how we'll plug that into the formula in a bit.
00:23 The next one says, in how many ways can three women be selected from the five women? so for part b, we're just looking at the women.
00:31 So from those five, we're going to pick three, and the order doesn't matter there either.
00:36 Then finally, it says the number of ways to select three women.
00:43 No, c, find the probability that the selected group will consist of all women.
00:49 So that means we need to take all those ways we pick the women over all the ways that we picked the actual groups...
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