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:
116 comments Page 12 of 12.

Rizwan said:   9 years ago
Why not the answer is 5/7?

ASHUTOSH said:   9 years ago
Why not the answer is 5/7?

Manish Kumar Gupta said:   7 years ago
How come this 2c2/7c2?

Amor said:   9 years ago
Agree with you @Roma.

Srija said:   1 decade ago
You are right akash!

Gmbvbgmkgh said:   10 years ago
Why is E used?


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