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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