A sanitation committee is to be formed from 3 boys and 2 girls Write sample space S and number of sample points in the event
1. Condition for event A At least one girl must be a member of the committee
2. Condition for event B Committee must be of one boy and one girl
3. Condition for event C Committee must be of boys only
4. Condition of event D At the most one girl should be a member of the committee
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Answers
✯ANSWER -:
Suppose B1, B2, B3 are three boys and G1 G2 are two girlsOut of these boys and girls, a sanitation committee of two members is to be
:S={B1B2,B1B3,B2B3,B1G1,B1G2,B2G1,B2G2,B3G1,B3G2,G1G2}
n(S) = 10
(i) Condition for event A is that at least one girl should be in the committee.
A = {B1G1,B1G2,B2G1,B2G2,B3G1,B3G2,G1G2}
N(a) = 7
(ii) Condition for event B is that one boy and one girl should be there in the committee.
B = {B1G1,B1G2,B2G1,B2G2,B3G1,B3G2}
n(B) = 6
(iii) Condition for event C is that there should be only boys in the committee.
C = {B1B2,B1B3,B2B3}
n(C) = 3
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