Probability 2 Question 2

2. If P(B)=34,P(ABC¯)=13 and P(A¯BC¯)=13, then P(BC) is equal to

(a) 112

(b) 16

(c) 115

(d) 19

(2002, 3M)

Show Answer

Answer:

Correct Answer: 2. (c)

Solution:

  1. Given, P(B)=34,P(ABC¯)=13

and

P(A¯BC¯)=13

which can be shown in Venn diagram.

P(BC)=P(B)P(ABC¯+P(A¯BC¯))

=3413+13=3423=112



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