Elena is going to a farmer's market for fresh produce. She has two markets to
choose from and hopes to buy both cherries and asparagus. The table shows
the probability that each type of produce will be available at the markets.
North market
South market
Cherries
0.6
0.5
Asparagus
0.85
0.84
Assuming that the availability of cherries and the availability of asparagus are
independent of each other, which market should Elena choose to maximize
her chance of buying both?
A. South market. There is a 0.42 probability of both cherries and
asparagus being available.
B. North market. There is a 0.3 probability of both cherries and
asparagus being available.
c. South market. There is a 0.3 probability of both cherries and
asparagus being available.
D. North market. There is a 0.51 probability of both cherries and
asparagus being available.

If the incidence of one event does not affect the probability of the other event then the events are independent of each other and called independent events.

Now, if A and B be two events which are independent,

then P(A∩B) = P(A)×P(B)

How to find which market Elena choose to maximize her chance of buying both?

In the table in given problem, the probability of cherries and asparagus are higher for north market.

For the north market,

The probability of produce cherries = P(A) = 0.6

The probability of produce asparagus = P(B) = 0.85

where A and B are the events of produce cherries and asparagus respectively.

Here, A and B are independent events.

Then probability for maximize her choice is P(A∩B) = P(A)×P(B)

= 0.6×0.85

= 0.51

∴ Elena choose north market to maximize her chance of buying both and the probability is 0.51

Learn more about independent events here :

https://brainly.com/question/11890324

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