Posted by Sam on Tuesday, November 22, 2011 at 11:34pm.
Emily surmises that the probability that she will pass math or chemistry is .95, the probability of her passing math is .7, and the probability of passing both is .55. Find her estimate of the probability of passing chemistry?

math  Reiny, Wednesday, November 23, 2011 at 12:26am
how about making a Venn diagram using 2 intersecting circles.
Place .55 in the intersection of the two.
Prob of passing math is .7 , but you already have put .55 in the math circle, that leaves .15 to go in the nonoverlapping part of math
label the nonoverlapping part of chemistry as x
then
x = .55 + .15 = .95
x = .25
so prob of passing chemistry is .55 + .25 = .8
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