Question

Q.5: Solve any one
1) From five persons A, B, C, D, E three persons are selected randomly to form a committee . Find
the probability of following events.
i)C is not selected in committee.
ii)E is selected in the committee.​

Answer 1

Answer:

No of ways of selecting 3 persons from the group of 3 men and two woman =

5

C

3

No. of ways of selecting exactly 2 women and 1 man =

2

C

2

×

3

C

1

=3

∴ Probability of selecting exactly 2 women and 1 man =

5

C

3

3

=

3!2!

5!

3

=

10

3

probability that the chair person selected from the committee is a woman =

3

2

∴ Probability of selecting exactly 2 women and 1 man for the committee and chairman selected i.e a woman =

10

3

×

3

2

=

5

1