Every Friday evening Sunil either cooks a meal for Mina or buys her a take-away meal. The probability that he buys a take-away meal is 0.24. If Sunil cooks the meal, the probability that Mina enjoys it is 0.75, and if he buys her a take-away meal, the probability that she does not enjoy it is x. This information is shown in the following tree diagram.

The probability that Sunil buys a take-away meal and Mina enjoys it is 0.156.

a. Find the value of x.

b. Given that Mina does not enjoy her Friday meal, find the probability that Sunil cooked it.

Transcribed Image Text:

0.75 Enjoys the meal Cooks a meal Does not enjoy the meal Coo 0.24 Enjoys the meal Buys a meal Does not enjoy the meal