Math, asked by iqbalmujawar, 2 months ago

There are 3 boys and 3 Girls. An environment committee of 2 is to be formed. Write so smaple Space [5], n(s) and find the total no. of elements in the following events.
A is the event which contains at bast 2 Girls. [2 and more] .

B boys is the event which contains both the .

C ( is the event which contains Only one triangle.

D is the event which contains at most one boy [] boy or boy] ne Find the event ameaing defined above above. 1. Complementary Event 2. Mutually Exclusive event. 3. Exchaustive event​

Answers

Answered by Mudit7260
0

Answer:

hope it helps you

Step-by-step explanation:

Committee of two is to be formed from 3 boys and 2 girls.

Let 3 boys be B

1

,B

2

,B

3

and 2 girls be G

1

,G

2

.

S={B

1

B

2

,B

1

B

3

,B

2

B

3

,G

1

G

2

,B

1

G

1

,B

1

G

2

,B

2

G

1

,B

2

G

2

,B

3

G

1

,B

3

G

2

}

∴n(S)=10

A is the event that the committee contains atleast one boy.

∴A={B

1

B

2

,B

1

B

3

,B

2

B

3

,B

1

G

1

,B

1

G

2

,B

2

G

1

,B

2

G

2

,B

3

G

1

,B

3

G

2

}

n(A)=9

∴P(A)=

n(S)

n(A)

=

10

9

and B is the event that the committee contains one boy and one girl.

∴B={B

1

G

1

,B

1

G

2

,B

2

G

1

,B

2

G

2

,B

3

G

1

,B

3

G

2

}

n(B)=6

∴P(B)=

n(S)

n(B)

=

10

6

=

5

3

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