Answer:
a) 0.5
b) 0.5
c) 0.67
d) 1
e) 0.83
f) 0.67
Step-by-step explanation:
a)
P(A)=n(A)/n(S)
n(A)=number of outcomes in event A=3
n(S)= Total number of outcome of an experiment=6
P(A)=3/6=1/2=0.5
b)
P(B)=n(B)/n(S)
n(B)=number of outcomes in event B=3
P(B)=3/6=1/2=0.5
c)
P(C)=n(C)/n(S)
n(C)=number of outcomes in event C=4
P(C)=4/6=2/3=0.67
d)
A∪B= {1,3,5} ∪ {7,9,11}={1,3,5,7,9,11}
P(A∪B)=n(A∪B)/n(S)=6/6=1
e)
A∪C={1,3,5}∪{1,3,9,11}={1,3,5,9,11}
P(A∪C)=n(A∪C)/n(S)=5/6=0.83
f)
A-C={1,3,5}-{1,3,9,11}={5}
(A-C)∪B={5}∪{7,9,11}={5,7,9,11}
P((A-C)∪B)=n((A-C)∪B)/n(S)=4/6=2/3=0.67
