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 10 of 12.

Supriya said:   1 decade ago
How the (7*6)(2*1) has come?
Please clear my concept.

Itachi said:   1 decade ago
Show the answer using conditional probability please!

Burhan said:   9 years ago
Could anybody tell me what is that c means in 7c2?

Riafat Hussain said:   1 year ago
1st ball = 5/7.
2nd ball = 4/6.
5/7 * 4/6 = 10/21.
(61)

NAMRA shah said:   9 years ago
Not understanding, please Explain me this method.

Tejeshwari said:   3 years ago
5/7 is it right?

Anyone can explain it, please.
(9)

Naseem Ullah Khan said:   5 years ago
Simple explanation, well done, thanks @Krish.
(2)

Sneha said:   1 year ago
Can anyone explain this in the short method?
(8)

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

Chi said:   1 decade ago
What is the formula for this question?


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