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
South
market
market
Cherries
0.96
0.8
Asparagus
0.5
0.65
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?
O A. South market. There is a 0.77 probability of both cherries and
asparagus being available.
B. North market. There is a 0.77 probability of both cherries and

Respuesta :

Elena should go to the south market because there is 0.52 probability of both cherries and asparagus being available.

How to determine the market to choose?

The table is given as:

                   North market     South market

Cherries          0.96                   0.8

Asparagus       0.5                   0.65

The probability of buying both produce at both markets is calculated as:

P(North) = 0.96 * 0.5 = 0.48

P(South) = 0.8 * 0.65 = 0.52

0.52 is greater than 0.48

Hence, Elena should go to the south market because there is 0.52 probability of both cherries and asparagus being available.

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