Question

Which market should Elena choose to maximize her chance of buying both?

Answer 1

Step-by-step explanation:

We are given a choice of two markets from which Elena may choose where to buy her farm produce.

We are also given the probabilities of getting each produce at each market, as indicated in the table provided.

Elena wants to buy Cherries and Asparagus and these have the following probabilities per market;

`\begin{gathered} North\text{ }Market: \\ P[cherries]=0.96 \\ P[asparagus]=0.5 \end{gathered}`

The probability of getting both cherries and asparagus will be a product of probabilities. Hence we will have;

`P[c]andP[a]=0.96*0.5`
`P[c]andP[a]=0.48`

Next, the probability of getting both cherries and asparagus at the south market;

`\begin{gathered} South\text{ }Market: \\ P[cherries]=0.8 \\ P[asparagus]=0.65 \end{gathered}`

Probability of getting both at the south market;

`P[c]andP[a]=0.8*0.65`
`P[c]andP[a]=0.52`

From the results computed, we can concluded that she has a higher chance of getting both items at the south market.

ANSWER:

`\begin{gathered} (C) \\ South\text{ }Market \\ There\text{ is a }0.52\text{ probability of both cherries and asparagus} \\ being\text{ available} \end{gathered}`