English class, and 57% Find the probability th answer as a decimal, a Find the probabílity th Write your answer as a

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IA a large school, it was found that 69% of students are taking a math class, 75% of student are taking an
English class, and 57% of students are taking both.
Find the probability that a randomly selected student is taking a math class or an English class. Write your
answer as a decimal, and round to 2 decimal places if necessary.
Find the probability that a randomly selected student is taking neither a math class nor an English class.
Write your answer as a decimal, and round to 2 decimal places if necessary.
Transcribed Image Text:IA a large school, it was found that 69% of students are taking a math class, 75% of student are taking an English class, and 57% of students are taking both. Find the probability that a randomly selected student is taking a math class or an English class. Write your answer as a decimal, and round to 2 decimal places if necessary. Find the probability that a randomly selected student is taking neither a math class nor an English class. Write your answer as a decimal, and round to 2 decimal places if necessary.
Expert Solution
Step 1

P[randomly selecting a student which happens to be taking math class ]= 0.69

P[randomly selecting a student which happens to be taking English class ]= 0.75

P[randomly selecting a student which happens to be taking both classes]=0.57

P[randomly selecting a student which happens to be taking math or English]= 

P[randomly selecting a student which happens to be taking math class]+

P[randomly selecting a student which happens to be taking English class] - 

P[randomly selecting a student which happens to be taking both classes]

= 0.69+0.75-0.57=0.87

We have used the formula:

P[A or B]= P[A]+P[B]-P[A and B], where A and B are two events.

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