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The probability that a student will pass Math is 40% and the probability that a student will pass English is 50%. There is a 20% chance that a student will pass both Math and English. What is the probability that a student will pass either Math or English (round your answer to one decimal place)?

Question

The probability that a student will pass Math is 40% and the probability that a student will pass English is 50%. There is a 20% chance that a student will pass both Math and English. What is the probability that a student will pass either Math or English (round your answer to one decimal place)?

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Solution

The probability that a student will pass either Math or English can be found using the formula for the probability of the union of two events:

P(A or B) = P(A) + P(B) - P(A and B)

where: P(A) is the probability of event A (passing Math), P(B) is the probability of event B (passing English), P(A and B) is the probability of both events A and B occurring (passing both Math and English).

Substituting the given values into the formula, we get:

P(Math or English) = P(Math) + P(English) - P(Math and English)

= 0.40 + 0.50 - 0.20

= 0.70

So, the probability that a student will pass either Math or English is 0.7, or 70%.

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