SOLUTION: Could someone please correct my work to see if im doing this right? A fishing magazine collected data and printed the following results: If there is rain then the probability o

Algebra ->  Probability-and-statistics -> SOLUTION: Could someone please correct my work to see if im doing this right? A fishing magazine collected data and printed the following results: If there is rain then the probability o      Log On


   



Question 1100140: Could someone please correct my work to see if im doing this right?
A fishing magazine collected data and printed the following results:
If there is rain then the probability of catching a fish at Lake Blue is 80%, but if it doesn't rain then the probability of catching a fish at Lake Blue is 17%. The forecast for today is 68% chance of rain.
A) Draw a tree diagram
(sorry if it looks confusing)
Percent = 100%
80%
R - / 17% R
\ 83 R (not)

/68% R
R (not rain)
20%
\ 32% R(not)
b) What is the probability that it rained today and a fish was caught?
P(RR) = 0.20 x 0.68 = 0.136
c) What is the probability of catching a fish today?
P(R not R|R) = 0.20 x 0.68 = 0.136
d) If a person caught a fish, what is the that there was rain?
I don't get this question*
Thanks

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
Just a guess but "If a person caught a fish, what is the that there was rain?"
might mean "If a person caught a fish, what is the probability that there was rain?"