Complete Question
Christine has always been weak in mathematics. Based on her performance prior to the final exam in Calculus, there is a 42% chance that she will fail the course if she does not have a tutor. With a tutor, her probability of failing decreases to 12%. There is only a 52% chance that she will find a tutor at such short notice
a What is the probability that Christine fails the course
b Christine ends up failing the course. What is the probability that she had found a tutor? (Round your answer to 4 decimal places.) Probability
Answer:
a

b
Explanation:
From the question we are told that
The probability that Christine will fail the course if she does not have a tutor is

The probability that Christine will fail the course if she has a tutor is

The probability that she will find a tutor is

Generally the probability that she will not find a tutor is

=>

Generally the probability of failing the course is

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=>

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Generally if Christine ends up failing the course the probability that she had found a tutor? (Round your answer to 4 decimal places.) Probability is mathematically represented as

=>

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