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Probability Questions

Home > Quantitative Aptitude > Probability > General Questions
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A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is:

A1/22

B3/22

C2/91

D2/77

Explanation:

n(s)= probability of drawing three balls out off 15 balls = 15c3

= (15*14*13)/(3*2*1)

= 455

n(E) = probability of getting red ball = 5c3

= (5*2*1)/(3*2*1)

=10

P(getting red ball)= n(E)/n(s)

= 10/455

= 2/91

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A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?

A10/21

B11/21

C2/7

D5/7

Explanation:

Solution: 2 red, 3 green, and 2 blue balls are there. So the probability of getting no blue ball is not selecting any blue ball among the two chosen balls hence 5C2.

5C2/7C2 = 10/21.

7C2 because we can select any 2 balls from 7 balls in that number of ways.

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There is a toy train that can make 10 musical sounds. It makes 2 musical sounds after being defective. What is the probability that same musical sound would be produced 5 times consecutively?

A1/32

B11/32

C1/16

D11/16

Explanation:

1/2 * 1/2 * 1/2 * 1/2 * 1/2 = 1/32

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There are 11 boys in a family. Youngest child is a boy. Probability is 1 that of all are boys out of?

A2

B2!

C2048

D1024

Explanation:

Solution: 11 boys, given youngest one is the boy

Probability of a boy or girl is (1/2)

Probability of finding remaining 10 children to get a boy is-

so (1/2)^10=1/1024.

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For the FIFA world cup, Paul the octopus has been predicting the winner of each match with amazing success. It is rumored that in a match between 2 teams A and B, Paul picks A with the same probability as A's chances of winning. Let's assume such rumors to be true and that in a match between Ghana and Bolivia, Ghana the stronger team has a probability of 2/3 of winning the game. What is the probability that Paul will correctly pick the winner of the Ghana-Bolivia game?

A1/9

B4/9

C5/9

D2/3

Explanation:

Solution: Answer is 5/9 because for example

Let Paul picks Ghana then probability that its prophecy will be true is 2/3*2/3 =4/9.

Now it may pick up Bolivia and the chances of winning are 1/3*1/3=1/9

So total probability will be 4/9 1/9=5/9

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After the typist writes 12 letters and addresses 12 envelopes, she inserts the letters randomly into the envelopes (1 letter per envelope). What is the probability that exactly 1 letter is inserted in an improper envelope?

A1/12

B0

C12/212

D11/12

Explanation:

Solution:

If one letter is put in a wrong envelope, then one other letter must also be put in the wrong envelope. So zero is the probability that exactly 1 letter is inserted in an improper envelope because it's not possible.

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2 boxes, 32 black n 31 red balls the probability of getting black ball is maximum. The maximum probability is

A3/4

B1/4

C2/3

DNone of these

Explanation:

Here is no explanation for this answer

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