If P (A) = 2, P (B) = ő where A, B and Care elementary
event of a random experiment, then P(C)=?
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Answer:
Probability that the contractor will get an electric contract, P(A)=
5
2
….(1)
Probability that the contractor will get a plumbing contract, P(B)=
7
4
….(2)
Probability of getting at least one contract is =
3
2
P(A∪B)=
3
2
i.e.,P(A∪B)=P(A)+P(B)−P(A∩B)=
3
2
….(3)
P(A∩B)=P(A)+P(B)−P(A∪B)
∴P(A∩B)=
5
2
+
7
4
−
3 /2= 105 /32
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