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Constructed Response

10. Terrell's Rib Shack offers ribs in beef, pork,
chicken, or tofu. You can also choose
between hot, tangy and sweet sauce.
ered
he will
Part A: Determine the sample space using the
fundamental counting principal


User Traday
by
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1 Answer

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Answer:

Check Explanation.

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!!!

User Carol McKay
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