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For the experiments in Exercises 13–18, write out the sample space S, choosing an S with equally likely outcomes, if possible. Then give the value of n(S) and tell whether the outcomes in S are equally likely. Finally, write the indicated events in set notation.

A committee of 2 people is selected at random from 5 executives: Alam, Bartolini, Chinn, Dickson, and Ellsberg.a. Chinn is on the committee.b. Dickson and Ellsberg are not both on the committee.c. Both Alam and Chinn are on the committee.

(a) One of the committee members must be C:$\{\mathrm{AC}, \mathrm{BC}, \mathrm{CD}, \mathrm{CE}\}$(b) any committee except DE:$\{\mathrm{AB}, \mathrm{AC}, \mathrm{AD}, \mathrm{AE}, \mathrm{BC}, \mathrm{BD}, \mathrm{BE}, \mathrm{CD}, \mathrm{CE}\}$(c) Both $\mathrm{A}$ and $\mathrm{C}$ are on the committee:$\{\mathrm{AC}\}$

Calculus 2 / BC

Chapter 7

Sets and Probability

Section 3

Introduction to Probability

Sequences

Missouri State University

University of Michigan - Ann Arbor

Boston College

Lectures

01:11

In mathematics, integratio…

06:55

In grammar, determiners ar…

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For the experiments in Exe…

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An experiment is conducted…

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State the sample space $S$…

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The sample space is $S=\{1…

Okay, So never said we have five executives will label that as well. We'll leave with them by their first letter in each of their names. So that's a B, C, D and E. I know we want to choose from these five people. Um, a committee of two people. So our sample space that is possible is a B or a C or a d a E, or we gonna have be see BG. Thank you. And now we can have see the noticed that I don't do see A or C p because that's already covered in a C on BC. So we have CD and see you. And lastly, we here we could have d e. And our e is already covered in each of these cases. Okay, so this is our sample space. So for party, we want, um, Chin is in the community. So everything was a c in it. That is, we have one to 34 So China is in a committee, um, and were asked to write that in sanitation. So that's see or actually a C BC so you be and C e. And now for part B, we want, um Dickinson's and I was worth are not in a community committee. So we want the, um, sample space such that we don't have see on or d any. Okay, so we see. Um, a de here, Andy here would be here on me here. Do you hear that? You hear energy And you here. So the only possible ones are a B. They see andi, BC, and lastly for part C, we want where both Alan on chin are in a committee. So that's just a and C together, and there's no possible other case.

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