Question

Given E and F are events defined on a sample space S such that P(E)=0.3,P(F)=0.5 and P(E F)=0.2,Find the probability of occurrence of,
Either event E or event F or both.
Either E but nit event F.
Either F but not event E.
Neither event E nor event F
will atrend the meeting?

Answer 1

Answer:

x+y=10....(1)

x−y=2....(2)

Adding equation (1)&(2), we have

(x+y)+(x−y)=10+2

2x=12

⇒x=

2

12

=6

Substituting the value of x in equation (1), we have

6+y=10

⇒y=10−6=4

Hence the solution for the equations x+y=10 and x−y=2 are x=6 and y=4.