A committee of 7 people is to be selected from 3 executives. Atom,Bartolini and

Question

A committee of 7 people is to be selected from 3 executives. Atom,Bartolini and Chinn. 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 below in set notation. Chinn is on the committee Alam and chinn are not both on the committee Both Alam and Bartolini are on the committee What is the sample space? Use the fast initial of each executive to write the events. S = [AB, AC, BC] S = [AB,AC] S = [AB] S = [A, B, C] The value of n(S) is Are the outcomes equally likely?

Explanation / Answer

Solution:

sample space

Option A:

no of combinations=a commitee of 2 to be selected from 3 members that can be done in

=3C2 ways=3!/(3-2)!2!=3.2.1/1.2.1=3

let A represent Alam

B represent Bartolini

C represent Chinn

Sample space=s={AB,AC,BC}

n(s) = 3 combinations

When all the outcomes of a sample space do not have equal chance of occurrence, the outcomes are called not equally likely

the outcomes are not equlaly likely in this case.

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