Question

There are 2 boys and 2 girls . A committee of two is to be formed . find the probability that the contains exactly one boy and girl​

Answer 1

Answer:

$maybe \frac{1}{3}$

Answer 2

Space = { B1B2, B1B3, B1G1, B1G2, B2B3, B2G1, B2G2, B3G1, B3G2, G1G2}

a. Let A = Event of forming a committee which contains atleast one girl

A = { B1G1, B1G2, B2G1, B2G2, B3G1, B3G2, G1G2}

n(A) = 7

P(A)=n(A)=7

n(S)=10

b. Let B = Event that the committee contains one boy and one girl.

B = { B1G1, B1G2, B2G1, B2G2, B3G1, B3G2, }

∴ n(B) = 6

P(B)=n(B)=6=3

n(S)10=5

c. Let C = Event that the committee contains only boys.

C = { B1B2, B1B3, B2B3}

∴ n(C) = 3

P(C)=n(C)=3=3

n(S)=10

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