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**1. Homework Statement**

romeo proposed to juliet. now hes waiting for her response.

R = 'event that she replies'

W='event that she wants to get married'

Mon = 'event on monday'

Tue = 'event on Tuesday'

P(R[itex]\wedge[/itex]Mon | W) = 0.2

P(R[itex]\wedge[/itex]Tue | W) = 0.25

P(R[itex]\wedge[/itex]Mon| [itex]\bar{W}[/itex]) = 0.05

P(R[itex]\wedge[/itex]Tue | [itex]\bar{W}[/itex]) = 0.1

P(R|W) = 1.0

P(R|[itex]\bar{W}[/itex]) = 0.7

P(W)=0.6

If Romeo has not received her reply on Monday, what is the probability that he will receive the letter on Tuesday?

**2. Homework Equations**

there are more probabilities for each day of the week for both W and bar W.

**3. The Attempt at a Solution**

I used to total probability to calculate P(R [itex]\wedge[/itex] Mon) = 0.25, and for tuesday = 0.35

and i believe what im trying to calculate now is P(R[itex]\wedge[/itex] Tue | [itex]\bar{Mon}[/itex]) [itex]\wedge[/itex] W)

so far, because its too difficult to latex it all. i have applied bayes theorem, and i have tried fiddling around with all 4 of the given ones. I need some direction.