1) Within the UW's Huskies football organization, Sabrina works as a football analyst. She believes that...

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1) Within the UW's Huskies football organization, Sabrina works as a football analyst. She believes that the outcome of the home January game against Oregon Ducks will be related to weather conditions that prevail in Seattle on that day. Local weather station estimates the probability of sunny and dry weather to equal 0.35 and the probability of rainy and muddy weather at 0.42. (The third probability is associated with freezing and snowy weather.) Based on her longitudinal analysis of team performance, Sabrina also estimates the following probabilities for the January game: 0.80 Huskies win if the weather is sunny and dry; 0.60 Ducks win if the weather is rainy and muddy; and equal chances of winning if the weather is freezing and snowy. If the Ducks win the game, determine the probability the weather was rainy and muddy. (HINT: start with a tree diagram) (2 pts) 1) Within the UW's Huskies football organization, Sabrina works as a football analyst. She believes that the outcome of the home January game against Oregon Ducks will be related to weather conditions that prevail in Seattle on that day. Local weather station estimates the probability of sunny and dry weather to equal 0.35 and the probability of rainy and muddy weather at 0.42. (The third probability is associated with freezing and snowy weather.) Based on her longitudinal analysis of team performance, Sabrina also estimates the following probabilities for the January game: 0.80 Huskies win if the weather is sunny and dry; 0.60 Ducks win if the weather is rainy and muddy; and equal chances of winning if the weather is freezing and snowy. If the Ducks win the game, determine the probability the weather was rainy and muddy. (HINT: start with a tree diagram) (2 pts)

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