Answer :
Final answer:
The probability of a student passing ENG 102 given that they passed ENG 101 is approximately 0.534, or 53.4%.
Explanation:
To find the probability of the student passing ENG 102 given that they have already passed ENG 101, we can apply the formula to calculate the conditional probability. The formula reads as P(A|B) = P(A and B) / P(B).
In our case, event A is the student passing ENG 102 and event B is the student passing ENG 101.
Given: P(A and B) = the probability of the student passing both ENG 101 and 102 = 0.31. P(B) = the probability of the student passing ENG 101 = 0.58.
Substituting these values into the formula, we get P(A|B) = 0.31 / 0.58. When you do this calculation, you will find that the probability of the student passing ENG 102 given that they have already passed ENG 101 is approximately 0.534 or 53.4%.
Learn more about Conditional Probability here:
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