MATHEMATICS · Multi-part · A Level · Mathematics · Probability · Probability
Problem
The probability of rain tomorrow is 51. If it rains, Mudlark will start favourite in the horse race, with probability 21 of winning. If it is fine, Mudlark only has a 1 in 20 chance of winning.
(1) Display the sample space of possible results for the horse race on a tree diagram.
(2) Hence determine the probability that Mudlark will win tomorrow.