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 6 of 12.

Biswajit said:   5 years ago
Can anyone tell me if I subtract the probability of getting 2 blue balls i.e 2/7 from 1 then why I can't get the answer?

Please explain me.
(2)

Shiba said:   1 decade ago
n(E) = Number of ways of drawing 2 balls out of (2 + 3) balls. ?

My question is why are you finding it only from 5 balls why not 7 balls.

SRZ said:   5 years ago
P1st (not blue)= 1-P(blue) = 1-2/7 = 5/7.
P2nd(not blue)= 1-P(blue) = 1-2/6 = 4/6.
P1 and P2(not blue)=5/7 x 4/6 = 20/42 = 10/21.
(45)

Jitesh mittal said:   10 years ago
Cannot we have a different method.

It will be like 1- putting out blue balls which is 2/7.

To probability will be 1-2/7 = 5/7?

Tenzin said:   7 years ago
It's answers is 5/7.

1 1,1 2,2 1,3 1,3 2,

Five ways that we get the ball without getting a blue ball,
So it should be 5/7.

Pranav said:   1 decade ago
A bag contains 3 red, 2 green and 5 blue balls. 4 balls are drawn at random. What is the probability that 1 green ball?

Zuay said:   1 decade ago
No no no! I don't understand are we not suppose to consider probability of not obtaining blue balls here? then its 5/7.

Abic said:   9 years ago
The probability of getting blue is 2/7.

If we sub 1-2/7 the answer is 5/7 why it is inaccurate? Please explain me.

ARUN KASHYAP said:   1 decade ago
Answer is simple:

2+3+2 = 7x3(here 3 is no.of 2+3+2) = 21.

2+ 3(here 3 is no.of 2+3+2) = 5x2 = 10.

10/21.

Sisis said:   8 years ago
The Probability of picking 1st ball is 5/7 and second is 4/6 final probability is the product 20/42=10/21.


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