Probability and Cookie Selection

The video tutorial explains the probability of selecting cookies from a bag without replacement, focusing on dependent events. It uses Connor's scenario of choosing an oatmeal cookie first, then a peanut butter cookie, to illustrate how the probability of the second event is affected by the first. The tutorial covers calculating probabilities, simplifying fractions, and converting results into decimals and percentages.

What types of cookies are in Connor's bag?

• Peanut butter, sugar, vanilla, oatmeal

• Chocolate chip, peanut butter, sugar, oatmeal

• Vanilla, chocolate chip, peanut butter, oatmeal

• Sugar, oatmeal, vanilla, chocolate chip

Why are the events of selecting an oatmeal cookie and a peanut butter cookie considered dependent?

• Because they are the same type of cookie

• Because they are selected at the same time

• Because the selection of one affects the probability of the other

• Because the cookies are replaced after selection

How many total cookies are in the bag initially?

• 20

• 30

• 26

• 25

What is the probability of selecting an oatmeal cookie first?

• 5/26

• 7/26

• 1/4

• 1/5

After selecting an oatmeal cookie, how many cookies are left in the bag?

• 23

• 24

• 26

• 25

What is the probability of selecting a peanut butter cookie after an oatmeal cookie has been selected?

• 1/5

• 5/25

• 7/25

• 5/26

What is the simplified form of the probability 5/25?

• 1/3

• 1/6

• 1/5

• 1/4

What is the final probability of selecting an oatmeal cookie and then a peanut butter cookie?

• 1/26

• 1/130

• 7/130

• 5/130

What is the decimal representation of the probability 7/130?

• 0.0520

• 0.0538

• 0.0510

• 0.0540

What is the percentage representation of the probability 7/130?

• 5.38%

• 5.40%

• 5.10%

• 5.20%