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Every Friday, Arif offers to take his sons to the beach or to

Every Friday, Arif offers to take his sons to the beach or to the park. The sons refuse an offer to the beach with probability 0.65 and accept an offer to the park with probability 0.85. The probability that Arif offers to take them to the beach is x. This information is shown in the tree diagram.

a. Find the value of x, given that 33% of Arif’s offers are refused.

b. Given that Arif’s offer is accepted, find the probability that he offers to take his sons to the park.

 

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