SOLUTION: The probability that Isaac can solve a maths problem is 0.95 and Diana's probability of solving the same problem is 0.92 a) draw a tree diagram to illustrate all possible outcomes

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Question 1120584: The probability that Isaac can solve a maths problem is 0.95 and Diana's probability of solving the same problem is 0.92
a) draw a tree diagram to illustrate all possible outcomes
b) what is the probability neither of them solves the problem
c) what is the probability that only one of them solves the problem
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


Given:
P(I) = 0.95
P(D) = 0.92

So:
P(I') = 0.05
P(D') = 0.08

Then
P(ID) = 0.95*0.92 = 0.874
P(ID') = 0.95*0.08 = 0.076
P(I'D) = 0.92*0.05 = 0.046
P(I'D') = 0.05*0.08 = 0.004

Note the sum of all the probabilities is 1, which means the calculations are correct.

You can answer the questions yourself....

a) drawing in typed text doesn't work very well....
b) see above
c) see above