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Is this correct? If not, please correct it, and show all work including why it’s wrong.

Is this correct? If not, please correct it, and show all work including why it’s wrong-example-1
User Evan Pu
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1 Answer

3 votes

Answer:

a. 12

b. 1/2

Explanation:

Given a meal has 3 choices of meat, 2 choices of fruit, and 2 choices of dessert, you want to know the number of possible meals, and the probability of a meal with no cookie for dessert.

a. Possibilities

As the tree diagram shows, the number of possible meals is ...

(possible meats)×(possible fruits)×(possible desserts)

= 3×2×2 = 12

There are 12 possible lunch options.

b. Cookies

Half the possible dessert choices have no cookie. That is the probability that a lunch will have no cookie:

P(no cookie) = 1/2

__

Additional comment

The bottom line of the tree diagram has 6 Cs and 6 Ms. That is, 6 of the 12 options for meals have no cookie.

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User Muthu R
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