Question

there are 2 boys 3 girls .A Plant more trees committee of two is to be formed .find the probability that the committee contains ​
pls help to solve this problem

Answer 1

Answer:

Probablity of only_girls is 3/10.

Probablity of One boy and One girl is 6/10.

Step-by-step explanation:

Given:

There are 2 boys and 3 girls.

A committee consisting of two is to be formed

Need To Find:

Probablity that the committee contains:-

i) Only_girls

ii) One boy and One girl

Solution:

According to question,

There are 2 boys let say B1 and B2 and 3 girls let say G1, G2, G3.

Committee of two is to be formed

The sample space (S) is given by

S = { (B1,B2), (B1,G1), (B1,G2), (B1,G3), (B2,G1), (B2,G2), (B2,G3), (G1,G2) , (G1,G3), (G2,G3)}

n(S) = 10

Now as we know

$probablity \: = \frac{number \: of \: favourable \: outcomes}{total \: number \: ofoutcomes}$

i) only_girls

Favourable outcomes are (G1,G2) , (G1,G3), (G2,G3)

Number of favourable outcomes = 3

Total number of outcomes = 10

$P( only \: girls) = \frac{3}{10}$

ii) One boy and One girl

Favourable outcomes are (B1,G1), (B1,G2), (B1,G3), (B2,G1), (B2,G2), (B2,G3)

Number of favourable outcomes = 6

Total number of outcomes = 10

$P( One \: boy \: and \: One \: Girl) = \frac{6}{10}$