Aptitude - Probability - Discussion

Discussion Forum : Probability - General Questions (Q.No. 2)
2.
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?
10
21
11
21
2
7
5
7
Answer: Option
Explanation:

Total number of balls = (2 + 3 + 2) = 7.

Let S be the sample space.

Then, n(S) = Number of ways of drawing 2 balls out of 7
= 7C2 `
= (7 x 6)
(2 x 1)
= 21.

Let E = Event of drawing 2 balls, none of which is blue.

n(E) = Number of ways of drawing 2 balls out of (2 + 3) balls.
= 5C2
= (5 x 4)
(2 x 1)
= 10.

P(E) = n(E) = 10 .
n(S) 21

Discussion:
115 comments Page 12 of 12.

Rose were said:   1 decade ago
Why are you multiplying by 6 and by 4?

Saurabh said:   1 decade ago
This is the the simplest method to find the Probablity...........

Kk585 said:   1 decade ago
Probability that the 2 balls r blue ----> 2c2/7c2 = 1/21

Probability that none of ball is blue ---> 1-(1/21) = 20/21

Why is my answer wrong please explain?

p(a)+p(a(bar)) = 1 .......

Soundar said:   1 decade ago
Its a correct answer and short way.

Aarthi said:   1 decade ago
Can we do this n different method? finding the possibility that both are blue and finally ans-1.


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