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The probability that a family visits City Museum is 0.46, and the probability that a family rides on the Three Rivers Ferry is 0.47. The probability that a family does both is 0.12. Find the probability that the family visits the museum or rides the ferry.

User Bigstones
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Answer:

it is bimoploar alalallaalalla

User RichTea
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Considering the definition of probability, the probability that the family visits the museum or rides the ferry is 81%.

Definition of Probabitity

Probability is the possibility that a phenomenon or an event will happen, given certain circumstances. It is expressed as a percentage.

Union of events

The union of events, AUB, is the event formed by all the elements of A and B. That is, the event AUB is verified when one of the two, A or B, or both occurs. AUB is read as "A or B".

The probability of the union of two compatible events is calculated as the sum of their probabilities subtracting the probability of their intersection:

P(A∪B)= P(A) + P(B) -P(A∩B)

where the intersection of events, A∩B, is the event formed by all the elements that are, at the same time, from A and B. That is, the event A∩B is verified when A and B occur simultaneously.

Events and probability in this case

Let A be the event that a family visits the City Museum, and B be the event that a family rides the Three Rivers Ferry. The given probabilities are:

P(A)= 0.46

P(B)= 0.47

P(A and B)= P(A∩B)= 0.12

In this case, considering the definition of union of eventes, the probability that a course has a final exam or a research project is calculated as:

P(A∪B)= P(A) + P(B) -P(A∩B)

P(A∪B)= 0.46 + 0.47 -0.32

P(F∪R)= 0.81= 81%

Finally, the probability that the family visits the museum or rides the ferry is 81%.

User Areti
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