Question

The probability that you ace this test is 90%. The probability that you fall in love this week is 20%.

The probability that you ace this test and fall in love this week is 10%. What is the probability you ace this test or fall in love this week?
Write your answer as a percentage.

Answer 1

The probability is 100%.

Explanation:

P(ace) = 90%

P(love) = 20%

P(ace and love) = 10%

P(ace or love) = P(ace) + P(love) - P(ace and love)

= 90% + 20% - 10%

= 100%

Hence, the Probability that you ace this test or fall in love this week is 100%

Answer 2

• 100%

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Use the concept of probability union.

The probability of A or B happening is given by the formula:

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

In this case, A represents the event of ace-ing the test and B represents the event of falling in love this week.

Given:

• P(A) = 90% = 0.9
• P(B) = 20% = 0.2
• P(A and B) = 10% = 0.1

Substitute these values into the formula:

• P(A or B) =
• P(A) + P(B) - P(A and B) =
• 0.9 + 0.2 - 0.1 =
• 1.0

Therefore, the probability of ace-ing the test or falling in love this week is 100%.