Question

If E and F are events with P(EnF)=0.1, P(E|F)=0.25, and P(F|E)=0.125, find

(a) P(E)

(b) P(F)

Answer 1

\[P(E\cap F)=0.1=\frac1{10}\]\[P(E|F)=0.25=\frac14\]\[P(F|E=0.125=\frac 18\]

Answer 2

is this right?

Answer 3

yes

Answer 4

does the vertical bar '|' mean 'or'

Answer 5

and the '\(\cap\)' mean intersection ?

Answer 6

'|' means 'Given'

Answer 7

P(E) = P(EnF)/P(F/E)
P(F) = P(EnF)/P(E/F)