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With probability .6, the present was hidden by mom; vvith
Chapter 3, Problem 35P(choose chapter or problem)
Problem 35P
With probability .6, the present was hidden by mom; vvith probability .4, it was hidden by dad. When mom hides the present, she hides it upstairs 70 percent of the time and downstairs 30 percent of the time. Dad is equally likely to hide it upstairs or downstairs.
(a) What is the probability that the present is upstairs?
(b) Given that it is downstairs, what is the probability it was hidden by dad?
Questions & Answers
QUESTION:
Problem 35P
With probability .6, the present was hidden by mom; vvith probability .4, it was hidden by dad. When mom hides the present, she hides it upstairs 70 percent of the time and downstairs 30 percent of the time. Dad is equally likely to hide it upstairs or downstairs.
(a) What is the probability that the present is upstairs?
(b) Given that it is downstairs, what is the probability it was hidden by dad?
ANSWER:
Step 1 of 3
It is given that mom hides the present with probability 0.6 and dad hides the present with 0.4 probability.
Also, it is given that when mom hides the present, she hides it upstairs with 0.7 probability and downstairs with 0.3 probability.
But the probability of hiding the present by dad is equally likely in both the cases.
Using this we need to find the required values.