You roll two fair dice. Let E be the event that an even total shows on the dice. Let F be the event that a three shows on at least one die. Find P(F) and P(F∣E).

Answer 1

p(f)=1/6*5/6 + 1/6*5/6 + 1/6*1/6
3x
y3
33

if a 3 shows on one die, then to be even sum, the other die has to be odd.
P(fgivenE)=1/6*3/6+3/6*1/6 only two ways.