A booth student plans to go to the Ratner Athletic Center in…
A booth student plans to go to the Ratner Athletic Center in Hyde Park every Saturday to play basketball for the next 6 weeks. Treat different Saturdays as independent: Each Saturday is dry with probability 0.8. If the weather is not dry, he won’t play. Independently, the probability that all friends are available to play is 0.5, regardless of the weather. Suppose this Booth student plays if and only if the weather is dry and all his friends are available. What is the probability that he never goes to Ratner to play basketball during the 6-week period?
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