Question 2 of 40
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
0.8
0.65
Asparagus
0.55
0.6
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?

Question 2 of 40 Elena is going to a farmers market for fresh produce She has two markets to choose from and hopes to buy both cherries and asparagus The table class=

Respuesta :

Answer:

north market. there is a 0.44 probability of both cherries and asparagus being aailable

Step-by-step explanation:

a p e x :))

To maximize the chances of buying cherries as well as asparagus, Elena should choose the North market. There is 0.44 probability of both cherries and asparagus.

What is probability?

"Probability is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."

Formula of the probability of an event A is:

P(A) = n(A)/n(S)

where,  n(A) is the number of favorable outcomes,

n(S) is the total number of events in the sample space.

What are independent events?

"These are two events wherein the occurrence of one event does not affect the occurrence of another event"

Probability of independent events:

If A, B are independent events then their combine probability is given by,

P(A ∩ B) = P(A) × P(B)

For given example,

Let P(A) represents the probability of cherries available at market and P(B) represents the probability of asparagus available at market.

The availability of cherries and the availability of asparagus are

independent of each other

So, the probability of buying cherries as well as asparagus from the North market would be,

⇒ P = P(A) × P(B)

⇒ P = 0.8 × 0.55

⇒ P = 0.44                                     ....................(1)

And the probability of buying cherries as well as asparagus from the South market would be,

⇒ P = P(A) × P(B)

⇒ P = 0.65 × 0.6

⇒ P = 0.39                                    .......................(2)

From (1) and (2),

To maximize the chances of buying cherries as well as asparagus, Elena should choose the North market. There is 0.44 probability of both cherries and asparagus.

Learn more about probability here:

brainly.com/question/11234923

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