Probability Quiz including Combination

1. An arrangement of numbers or elements without regarding order is referred as

Permutation
Function
Combination
All of above

2. n C r =

n! / r!(n - r)!
n! x r!(n- r)!
n! r! /(n -r)!
n! / (n-r)!

3. n C r =

n! - r!(n r)!
n P r / r!
n P r x r!
n P r -r!

4. The number of arrangement in which 5 sheets can be selected from a total of 20 different sheets is

15000
15504
16580
25480

5. A sheet is drawn at random from a box containing 5 red sheets, 4 white sheets, and 6 blue sheets. Calculate the probability that it is (a) red, (b) white, (c) blue, (d) not red, (e) red or white.

1/3, 4/15, 2/5, 2/3 , 3/5
1/15, 4/15, 2/5, 2/3 , 3/15
1/3, 4/15, 2/15, 2/15 , 3/5
1/15, 4/15, 2/15, 2/15 , 3/5

6. What is the probability of two heads, HH and exactly one H head if a fair coin tossed twice?

1/4, 1/2
1 , 1/4
All of above
None of above

7. Find the probability of not getting a 2 or 12 total on either of two tosses of a pair of fair dice

1/18
17/18
17/18 x 17/18
24/36

8. Total number of ways in which two dice may turn are.

24
36
48
72

9. One box contains 6 white balls and 4 black balls, another contains 2 white balls and 3 black balls. If one ball is drawn from each bag, find the probability that (a) both are white, (b) both are black, (c) one is white and one is black.

6/25, 6/25 , 6/25
16/25, 6/25 , 6/25
6/25, 6/25 , 13/25
None of above

10. P(B|A)=P(A|B)P(B) /P(A) is referred as

Probability condition
Bayes' Theorem (Formula)
Intersection Law of probability
None of above

11. Find number of arrangements for 12 objects into two groups containing 8 and 4 objects, respectively?

595
695
495
25

12. Find ways for a team of 4 players be chosen out of 9 players.

126
120
320
420

Probability Quiz including Combination

Probability Quiz

Combination and Probability

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