Question

The probability of a student buying coffee before class is 30%. The probability of a student buying a muffin before class is 40%. The probability of a student buying tea before class is 20%. The probability a student buys coffee AND a muffin before class is 15%. The probability a student buys tea AND a muffin before class is 10%. What is the probability that a student buys coffee OR a muffin before class

Answer 1

The probability that a student buys coffee OR a muffin before class is 55%

How to determine the probability?

The given parameters are:

P(Coffee) = 30%

P(Muffin) = 40%

P(Tea) = 20%

P(Coffee and Muffin) = 15%

P(Tea and Muffin) = 10%

The probability that a student buys coffee OR a muffin before class is

P(Coffee or Muffin) = P(Coffee) + P(Muffin) - P(Coffee and Muffin)

This gives

P(Coffee or Muffin) = 30% + 40% - 15%

Evaluate

P(Coffee or Muffin) = 55%

Hence, the probability that a student buys coffee OR a muffin before class is 55%

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