If $A$ and $B$ are two events associated with a random experiment such that $P (B) = 0.35, P (A o r B) = 0.85$ and $P (A a n d B) = 0.15$ , find $P (A)$ .

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Solution

P(A or B) = P(A) + P(B) - P(A and B)
0.85 = P(A) + 0.35 - 0.15
P(A) = 0.65

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Q. If A and B are two events associated with a random experiment for which

P (A) = 0.35, P (A or B) = 0.85, and P(A and B) = 0.15.

Find P(only B).

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(b) A and B are two events such that P(A)= 0.54, P(B) = 0.69 and $P (A \cup B)$ = 0.35. Find:

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P(A) P(B)

$P (A \cap B)$ $P (A \cup B)$

(i) $\frac{1}{3}$ $\frac{1}{5}$ $\frac{1}{15}$ ___

(ii) 0.35 ___ 0.25 0.6

(iii) 0.5 0.35 ___ 0.7

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If A and B are two events associated with a random experiment such that P(B)=0.35,P(A or B)=0.85 and P(A and B)=0.15, find P(A).

P(A or B) = P(A) + P(B) - P(A and B)0.85 = P(A) + 0.35 - 0.15P(A) = 0.65

If $A$ and $B$ are two events associated with a random experiment such that $P (B) = 0.35, P (A o r B) = 0.85$ and $P (A a n d B) = 0.15$ , find $P (A)$ .

P(A or B) = P(A) + P(B) - P(A and B)
0.85 = P(A) + 0.35 - 0.15
P(A) = 0.65