Question

Pizza	Candy	Popcorn	Other	Total
Freshman	36	29	40	50	155
Sophomore	28	12	53	49	142
Junior	17	7	21	32	77
Senior	10	3	9	30	52
Total	91	51	123	161	426

1. A group of college students was asked their favorite snack food. The results are summarized in the table above. If a student is selected at random from this group, find the probability that the student is a sophomore.

2. A group of college students was asked their favorite snack food. The results are summarized in the table above. If a student is selected at random from this group, find the probability that the student's favorite snack food is candy.

3. A group of college students was asked their favorite snack food. The results are summarized in the table above. If a student is selected at random from this group, find the probability that the student is a sophomore and the student's favorite snack food is candy.

4. A group of college students was asked their favorite snack food. The results are summarized in the table above. If a student is selected at random from this group, find the probability that the student is a sophomore or the student's favorite snack food is candy.

5. A group of college students was asked their favorite snack food. The results are summarized in the table above. If a student is selected at random from this group, find the probability that the student is a sophomore given the student's favorite snack food is candy.

6. A group of college students was asked their favorite snack food. The results are summarized in the table above. If a student is selected at random from this group, find the probability that the student's favorite snack food is candy given that the student is a sophomore.

7. A group of college students was asked their favorite snack food. The results are summarized in the table above. If a student is selected at random from this group, find the probability that the student's favorite snack food is pizza or popcorn.

Answer 1

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1. P(sophomore) = 142/426 = .333

2. P(fav is candy) = 51/426 = 0.120

3. P(sophomore & candy) = 12/426 = 0.028

4. P(sophomore or candy)= P(sophomore) + P(candy is fav) - P(sophomore & candy) = .333+.120-.028 = 0.425

5. P(given loves candy, is sophomore) = 12/51 = 0.235

6. P(fav is candy given is sophomore) = 12/142 = 0.085

7. P(students fav snack is pizza or popcorn) = (91+51)/426 = 0.333