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Tomorrow, there is a 40% chance of rain. Also, tomorrow, there is a 40% chance ofhaving a test you forgot about. What are the odds of tomorrow being a bad day (rainand forgotten test)?

Tomorrow, there is a 40% chance of rain. Also, tomorrow, there is a 40% chance ofhaving a test you forgot about. What are the odds of tomorrow being a bad day ( class=

Answer :

We are dealing with two independent events. This is so because the chance or probability that it it will rain is independent of the chance or probability that there would be a test that you forgot about. If P(A) represents the event that it rains and P(B) represents the event that there is a test that you forgot about, then from the information given,

P(A) = 40/100 = 0.4

P(B) = 40/100 = 0.4

Thus, the odds or probability of tomorrow being a bad day(rain and forgotten test) is P(A) * P(B). Thus,

P(A) * P(B) = 0.4 * 0.4 = 0.16

The answer is 0.16

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