If E1 and E2 are two events associated with a random experiment such that P(E2)=0.35, P(E1 or E2)=0.85 and P(E1 and E2)=0.15, then P(E1) is?
Explanation
Concept
P(A∪B)=P(A)+P(B)−P(A∩B)
Calculation:
\text{Here, } P(E2)=0.35, P(E1∪E2)=0.85 \text{ and } P(E1∩E2)=0.15
P(E1∪E2)=P(E1)+P(E2)−P(E1∩E2)
0.85=P(E1)+0.35−0.15
0.85=P(E1)+0.20
⇒P(E1)=0.65
\text{Hence, option (3) is correct.}
Explanation
Concept
P(A∪B)=P(A)+P(B)−P(A∩B)
Calculation:
\text{Here, } P(E2)=0.35, P(E1∪E2)=0.85 \text{ and } P(E1∩E2)=0.15
P(E1∪E2)=P(E1)+P(E2)−P(E1∩E2)
0.85=P(E1)+0.35−0.15
0.85=P(E1)+0.20
⇒P(E1)=0.65
\text{Hence, option (3) is correct.}
