A teacher administers three different versions of a test to his students The two-way table shows the results. Grade Pass FailTestA 49 7B 46 6C 34 12 Find the probability of the event below using the formula for conditional probability. Round your answer to the tenths place. P(pass | Test A)Probability: $\%$
Question
A teacher administers three different versions of a test to his students The two-way table shows the results. Grade Pass FailTestA 49 7B 46 6C 34 12 Find the probability of the event below using the formula for conditional probability. Round your answer to the tenths place. P(pass | Test A)Probability:
Solution
To find the conditional probability P(pass | Test A), we need to find the probability that a student passes given that they took Test A.
First, let's find the total number of students who took Test A. This is the sum of the students who passed and failed Test A, which is 49 (pass) + 7 (fail) = 56 students.
Next, we find the number of students who passed Test A, which is 49.
The conditional probability P(pass | Test A) is then the number of students who passed Test A divided by the total number of students who took Test A.
So, P(pass | Test A) = 49 / 56 = 0.875.
Rounded to the tenths place, the probability is 0.9 or 90%.
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