3 years ago

Decide whether the sets are equivalent {d: d is a month of the year} and {g : g is a state in the United States}

Mathematics

1 answer:

Mekhanik [1.2K]3 years ago

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Answer:

<h2>Non equivalent</h2>

Step-by-step explanation:

The equivalent between sets is determined by the number of elements. If two sets have the same number of elements, then they are equivalent sets.

In this case, a year has 12 months, and the US has 50 states. So, one month is not equal to 1 state because they have different natures and they represent a different proportion. A month represents 1/12 of a year and a state represents 1/50 of the total number of states.

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Answer:

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Step-by-step explanation:

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We want P(F ∩ B^c), note that if F happens, there could be 2 disjoint possible events: B or B^c, hence

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P(F ∩ B^c) = P(F) - P(F ∩ B) = 0.6 - 0.2 = 0.4

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