Mathematics

Mathematics

Problem

The probability of rain tomorrow is 15\frac{1}{5}. If it rains, Mudlark will start favourite in the horse race, with probability 12\frac{1}{2} of winning. If it is fine, Mudlark only has a 1 in 20 chance of winning. a. Display the sample space of possible results for the horse race on a tree diagram. b. Hence determine the probability that Mudlark will win tomorrow.

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