Christine has always been weak in mathematics. Based on her performance prior to

Question

Christine has always been weak in mathematics. Based on her performance prior to the final exam in Calculus, there is a 44% chance that she will fail the course if she does not have a tutor. With a tutor, her probability of failing decreases to 14%. There is only a 54% chance that she will find a tutor at such short notice. a. What is the probability that Christine fails the course? (Round your answer to 4 decimal places.) Probability b. Christine ends up failing the course. What is the probability that she had found a tutor? (Round youranswer to 4 decimal places.) Probability

Explanation / Answer

a) here we have to get the total probability of failing the exam

the probability of failing when get tutor = 0.54*0.14 = 0.0756

the probability of not geting tutor and failing = 0.46*0.44 = 0.2024

hence the total probability = 0.2780

b) it is given that she failed , to find the probability that she had tutor = 0.54*0.14/0.2780 = 0.2719

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