Probability with Permutation and Combination. :)

There are 10 students in a class: 5 boys and 5 girls.

If the teacher picks a group of 3 at random, what is the probability that everyone in the group is a girl?

• 1/12

• 1/2

• 1

• 1/5

If three alphabets are to be chosen from A, B, C, D and E such that repetition is not allowed then what is the probability of randomly guessing the password?

• 1/60
• 1/45
• 1/200
• 1/175

There are 10 men and 6 women working at a company. A hiring committee of 4 staff members is selected by a supervisor.

What is the probability that the committee is made up of 3 women and 1 man?

• 10/91

• 1/20

• 3/16

• 36/91

There are 10 men and 6 women working at a company. A hiring committee of 4 staff members is selected by a supervisor.

How many ways can the committee be made up of 3 women and 1 man?

• 200

• 180

• 560

• 1820

You are dealt 5 cards from a standard deck of playing cards. What is the probability you are dealt a flush?

**A flush is all 5 cards of the same suit (order does not matter).

• 1/1287

• 1/2598960

• 1287/2598960

• 5/52

Probability of Empty set is

• 0

• 1

• 2

• 3

Set is a well defined collection of objects

• True

• False

Permutation is the ......................

• Selection of objects

• Arrangement of Objects

• Arrangement -selection of objects

• None of these

The numerical measure of uncertainty is provided by .....

• Theory of Probability

• Theory of Excel

• Theory of Python

• Theory of C-language

Combination is the situation when

• A different result occurs when positions of objects are switched
• The same result occurs when positions of objects are switched
• counting principles are applied
• I don't know