Probability and Cookie Selection

The video tutorial explains how to calculate the probability of selecting two peanut butter cookies consecutively from a bag containing different types of cookies. It introduces the concept of dependent events, where the outcome of the first event affects the second. The tutorial walks through calculating the initial probability of selecting a peanut butter cookie, updating the probability after one is selected, and simplifying the fractions to find the final probability as a reduced fraction.

What types of cookies are in Trevor's bag?

• Chocolate chip, sugar, oatmeal raisin, gingerbread

• Chocolate chip, peanut butter, oatmeal raisin, snickerdoodle

• Chocolate chip, peanut butter, sugar, gingerbread

• Chocolate chip, peanut butter, sugar, oatmeal raisin

Why are the events of selecting two peanut butter cookies considered dependent?

• Because the selection of the first cookie affects the probability of the second

• Because the cookies are of different types

• Because the cookies are in the same bag

• Because the selection of the first cookie does not affect the second

How many total cookies are in the bag?

• 30

• 20

• 25

• 35

What is the probability of selecting a peanut butter cookie first?

• 1/5

• 1/6

• 1/4

• 1/3

After selecting one peanut butter cookie, how many are left in the bag?

• 6

• 5

• 4

• 3

What is the probability of selecting a second peanut butter cookie after one has been taken?

• 1/6

• 1/5

• 1/4

• 1/3

How many total cookies are left after one peanut butter cookie is selected?

• 23

• 24

• 26

• 25

What is the simplified probability of selecting two peanut butter cookies consecutively?

• 1/35

• 1/30

• 1/25

• 1/20

What is the probability of selecting a peanut butter cookie first and then another one?

• 1/50

• 1/40

• 1/30

• 1/20

What does the final probability of 1/30 represent?

• The chance of selecting any two cookies

• The chance of selecting two chocolate chip cookies

• The chance of selecting two different types of cookies

• The chance of selecting two peanut butter cookies consecutively