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Question

Jacob has a habit of oversleeping in the morning and when he oversleeps, he misses his breakfast. The probability of him oversleeping is 0.4. What is the probability that he eats breakfast?

A
0.4
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B
1
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C
0.6
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D
0.1
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Solution

The correct option is C 0.6
Given that the probability of Jacob oversleeping is 0.4.
P(oversleeping)=0.4

Jacob would eat his breakfast when he would not oversleep.
We are looking for the probability of Jacob not oversleeping, i.e., P(¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯oversleeping).

P(¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯oversleeping)=1P(oversleeping)

P(¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯oversleeping)=10.4

P(¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯oversleeping)=0.6


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