Every morning during class time, Brenda either reads a novel or solves Mathematics questions. The probability that she reads a novel is 4/5.

Every morning during class time, Brenda either reads a novel or solves Mathematics questions. The probability that she reads a novel is 4/5. If she reads a novel, there is a probability of 3/7 that she will fall asleep. If she solves Math’s questions there is a probability of 1/2 that she will fall asleep. Sometimes the teacher on duty enters Brenda’s classroom. When Brenda is asked whether she had been a sleep, there is a probability of 1/5 that she will admit that she had been asleep and a probability of 3/5 that she will claim to have been asleep.

Using a tree diagram;
Find the probability that
(i) She sleeps and admits it.
(ii) She sleeps and does not admit.
(iii) She does not sheep but claims to have been asleep.
(iv) She does not sleep and says that she has not been a slept.
(v) She sleeps and admits and changes her mind.

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Wilfykil answered the question on September 11, 2019 at 06:40

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