Mathematics, 18.02.2020 00:59 kaliyah91

Thursday is date night for Holly and David. Based on prior date nights, they will choose to go out 80% of the time. If they go out for date night, they will have steak for dinner 40% of the time, 10% of the time they will choose a pasta-based dinner, otherwise they will select something else. The probability that they will have a steak dinner is 50%. If they choose to eat at home they will only choose from pasta or steak. Answer the following questions.

(a) Determine the probability that they will have steak for dinner, given that they choose to have date night at home.
(b) Create a tree diagram based on the information given above.
(c) Find the probability that they will have steak or pasta for dinner.

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