Chec 10. Drinky Drinkpop wants to look at the drinking and eating preferences of
ID: 3074118 • Letter: C
Question
Chec 10. Drinky Drinkpop wants to look at the drinking and eating preferences of people in an attempt to create some good combinations of product sales. He looks at 3 drinks: Coke, Dr. Pepper, and Sprite. He looks at 2 types of snacks: Pretzels and Potato Chips. He finds the probability of each of these as follows: PrCoke &Potato Chips) -0.20 P(Coke & Pretzels)- 0.15 P(Coke)- 0.35 P(Dr. Pepper) 0.40 P(Sprite)-0.30 P(Pretzels) 0.45 P(Potato Chips)-0.55 Calculate the following probabilities: a. P(Potato Chips Coke) (2 points) b. P(Pretzels Coke) (2 points) If you know that a person is drinking coke, which snack are they more likely to grab? (1 point) c. d. P(Coke or Dr. Pepper) (2 points) e P(Coke or Pretzels) (2 points) £. How many different combinations are there of selecting one drink and one snack? (2 points) this exam. (I point) 11. Provide your subjective probability of the chance you reccive an A onExplanation / Answer
P(A | B) = P(A&B)/P(B)
a) P(potato chips | coke) = P(potato chips and coke)/P(coke)
= 0.2/0.35
= 0.5714
b) P(Pretzels | Coke) = 0.15/0.35
= 0.4286
c) Potato Chips
d) P(Coke or Dr. Pepper) = 0.35+0.4 = 0.75
e) P(Coke or Pretzels) = P(coke) + P(pretzels) - P(coke and pretzels)
= 0.35 + 0.45 - 0.15
= 0.65
f) Number of choices = 3 x 2 = 6