Question

Elena is going to a farmer's market for fresh produce. She hastwo markets to choose from and hopes to buy both cherriesand asparagus. The table shows the probability that each typeof produce will be available at the markets.

Answer 1

INFORMATION:

We know that:

- 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 following table is given and shows the probability that each type of produce will be available at the market:

And we must select in which market she has the higher chance of buying both, assuming that the availability of cherries and the availability of asparagus are independent of each other

STEP BY STEP EXPLANATION:

To select the correct one, we need to use that the availability of cherries and the availability of asparagus are independent of each other, and for independent events we can calculate their combined probability as

`P(A\cap B)=P(A)* P(B)`

Now, using the formula, we can calculate the probabilities for North market and South market

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

- North Market:

`P(A\cap B)=0.6*0.85=0.51`

So, the probability of buying cherries as well as asparagus from the North market would be 0.51

- South Market:

`P(A\cap B)=0.5*0.84=0.42`

So, the probability of buying cherries as well as asparagus from the South market would be 0.42

Finally, from the two probabilities we can state that to maximize the chances of buying cherries as well as asparagus, Elena should choose the North market. There is 0.51 probability of both cherries and asparagus.

ANSWER:

D. North market. There is a 0.51 probability of both cherries and asparagus being available.