Question

Constructed Response

Answer 1

Answer:

Check Explanation.

Step-by-step explanation:

Totally, Terrell has 4 protein/meat options and 3 sauce options to pick from.

Meat Options: beef, pork, chicken, or tofu.

Sauce Options: hot, tangy and sweet sauce.

Individually, he could just pick each of the options, but now, the sample space would involve a combination of a protein option and a sauce option. So, the total sample spaces available would be every choice of protein and sauce available.

Using the fundamental counting principle,

A choice of beef meat will be followed by choice of either hot, tangy and sweet sauce giving a sample space of

(beef, hot), (beef, tangy), (beef, sweet)

This can then be repeated across the meat choices

(pork, hot), (pork, tangy), (pork, sweet)

(chicken, hot), (chicken, tangy), (chicken, sweet)

(tofu, hot), (tofu, tangy), (tofu, sweet)

Bringing the total sample spaces to

(beef, hot), (beef, tangy), (beef, sweet), (pork, hot), (pork, tangy), (pork, sweet), (chicken, hot), (chicken, tangy), (chicken, sweet), (tofu, hot), (tofu, tangy) and (tofu, sweet)

Making a total of 12 sample spaces!

Hope this Helps!!!