Aptitude - Probability - Discussion

Discussion Forum : Probability - General Questions (Q.No. 3)
3.
In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?
1
3
3
4
7
19
8
21
9
21
Answer: Option
Explanation:

Total number of balls = (8 + 7 + 6) = 21.

Let E = event that the ball drawn is neither red nor green
= event that the ball drawn is blue.

n(E) = 7.

P(E) = n(E) = 7 = 1 .
n(S) 21 3

Discussion:
36 comments Page 4 of 4.

Ravindra said:   7 years ago
How can p(e) =7?

Because neither red nor green clearly means its blue.
(1)

Rohit said:   7 years ago
How n(E) =7?

Shiv said:   4 years ago
Neither red''️ nor green'' means (avoiding red and green) so we left out with blue means the one ball we have to pick up should be blue colour ball so.

P(E) = 7/21 = 1/3.
(1)

Chris said:   4 years ago
@All.

Here, You can solve it in two ways.

Method 1:
Total number of balls = 7+8+6= 21.
Neither red nor green, that means it is blue,
Number of blue = 7,
Probability of blue = number of blue balls÷ total number of balls.

Probability of blue balls= 7/ 21.

1/3.

Method 2:
Total number of balls = 21.
Number of Red = 8.
Prob of selecting red = 8/21 or.
Number of Green = 6.
Prob of selecting green = 6/21 or 2/7.
Neither Red nor Green = 1-(prob of red+ prob of green).
1 - (8/21 + 6/21).
1 - 14/21 = 7/21 or 1/3.
(17)

Romeo said:   3 years ago
Thanks all for explaining.
(4)

Kigele yazidi said:   2 years ago
Total number of balls = 8 + 7 + 6,
=21.

Probability not red or green= number of events/sample space.
So, 7÷21 = 1/3.
(6)


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