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 7 of 12.

Manoj said:   9 years ago
How did you obtain 21 sample spaces in the above-mentioned solution?
Can you mention all possible combination of balls?

Ex:{ HH, TT, HT, TH } for 2coins.

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

Manisha said:   9 years ago
Please solve this question:

A bank contains 5white,6red,2green, and 2black balls one ball is selected at random from the bag. Find the probability that the selected ball is:

1. White
2. Non white
3. White or green
4. Black or red

Pooja said:   9 years ago
Please solve this question:

A bag contains 5 white, 6 red, 2 green and 2 black balls. One ball is selected at random from the bag. Find the probability that the selected ball is;

A) white
B) non-white
C) white or green
D) black or red

Saravana said:   9 years ago
What is the need for finding the first step? Please Explain.

Shah Rukh said:   9 years ago
@Pooja for A. White.
Ans = totql balls = 5+6+2+2 = 15.
Totql no. Of outcomes i.e. S=15c1 =15/1 = 15.
Event A = 5c1 = 5.
Probability of event A = 5/15 = 1/3.

ASHUTOSH said:   9 years ago
Why not the answer is 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.

Sathya said:   9 years ago
Here, using combination formulae is good so the answer is 11/21 is correct.

Solution:.

First possibility 3 balls 7c2 = 21.
Second possibility is 5c2 = 11.

So that the answer is=11/21.

Laura said:   8 years ago
How 7x6?

where did you get the 6 from?

Please explain it in detail.


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