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March 31st, 2017, 03:35 AM   #1
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Probability Help Please

My daughter has this revision question and I can't help her with it. Anybody able to show me the working out required please so I can go through it with her.

When a bunny and a chick have a race, the probability that the bunny wins is 0.9. When a bunny and a chick have a jumping competition, the probability that the chick wins is 0.3. If a bunny and a chick have a race and then a jumping competition, what is the probability that they will each win
exactly one of the competitions?
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March 31st, 2017, 05:43 AM   #2
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The probability of the bunny winning the race AND the jumping is 0.9 x 0.7 = 0.63 which is 63%.

and the probability of the chick winning the race AND the jumping is 0.1 x 0.3 = 0.3 which is 30%.

Showing this to your daughter on a tree diagram might help her to see it.
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