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Harry's golf team is playing a game tomorrow. Based on the team's record, it has a 15% chance of winning on rainy days and an

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Harry's golf team is playing a game tomorrow. Based on the team's record, it has a 15% chance of winning on rainy days and an 85% chance of winning on sunny days. Tomorrow, there is a 40% chance of rain. a. Determine the probability that Harry's team will win tomorrow if it rains. (1 mark) P ( W) 0. 85 = P ( sn w ) = 0. 60* 0.8 sun 0. 60 L X P lLS 0 . 15 = P (SAL) = 0. 60 x0.15 0. 40 * 0. 15 0. 40 42 p ( w ) 0. 15 = 0.06 P ( RAW ) = 0.40*0. 15 rain P ( r ) L P (L ) 0. 85 = P (RAL) = 0. 40 * 0.85 b. Determine the probability that Harry's team will win tomorrow if it does not rain. (1 mark) D. 60 x 0. 85 = 0.51 c. Determine the probability that Harry's team will win tomorrow. (2 marks)

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