Write a sample space S and number of sample points n(S) for the following experiments. Also write events A, B, C in the set from and write n(A),n(B) and n(C).
From three men and two women, environment committee of two person to be formed.
Condition for event A: There must be at least one woman member.
Condition for event B: One man, one woman committee to be formed.
Condition for event C: There should not be a woman member.
Write a sample space S and number of sample points n(S) for the following experiments. Also write events A, B, C in the set from and write n(A),n(B) and n(C).
From three men and two women, environment committee of two person to be formed.
Condition for event A: There must be at least one woman member.
Condition for event B: One man, one woman committee to be formed.
Condition for event C: There should not be a woman member.
Given 3 Men 2 WomenLet men be the M1, M2 and M3.
Women be F1 and F2
S={M1M2, M1M3, M1F1, M1F2, M2M3, M2F1, M2F2, M3F1, M3F2,F1F2, }n(S)=10
Condition for event A: There must be at least one woman member.
A={M1F1, M1F2, M2F1, M2F2, M3F1, M3F2,F1F2, }
n(A)=7
Condition for event B: One man, one woman committee to be formed.
B={M1F1, M1F2, M2F1, M2F2, M3F1, M3F2}
n(B)=6
Condition for event C: There should not be a woman member.
C={M1M2, M1M3, M2M3,}
n(C)=3
Let men be the M1, M2 and M3.
Women be F1 and F2
n(S)=10
Condition for event A: There must be at least one woman member.
A={M1F1, M1F2, M2F1, M2F2, M3F1, M3F2,F1F2, }
n(A)=7
Condition for event B: One man, one woman committee to be formed.
B={M1F1, M1F2, M2F1, M2F2, M3F1, M3F2}
n(B)=6
Condition for event C: There should not be a woman member.
C={M1M2, M1M3, M2M3,}
n(C)=3
