The Westerburg High School Soccer Team performs differently in the rain than they do when it doesn't rain. When it rains they have a 80% chance of winning, but when it doesn't rain they have a 50% chance of winning. Given that there is a 20% chance of rain today, what is the probability that they lose their game?

Question
Answer:
There are two scenarios under which the team loses. 
Either it rains and they lose, which has probability 20% * 20% = 4%. Or it doesn't rain and they lose, which has probability 80% * 50% = 40%. 
Adding these two probabilities gives us 44%, so the correct answer is C.
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general 10 months ago 9485