Making Predictions with Theoretical Probability

Warm UpYou flip a coin three times.

1. Create a tree diagram to find the sample space.

2. How many outcomes are in the sample space?

3. List all the ways to get three tails.4. Find the probability of getting three tails.5. What is the probability of getting exactly two

heads?

• Predict how many times you will roll a number less than 5 if you roll a standard number cube 250 times.

• You flip a fair coin 18 times. About how many times would you expect heads to appear?

A bag of marbles contains 8 red marbles, 4 blue marbles, and 5

white marbles. Tom picks a marble at random. Is it more likely that he picks a red marble or a marble of

another color?

At a fundraiser, a school group charges $6 for tickets for a “grab

bag.” You choose one bill at random from a bag that contains

40 $1 bills, 20 $5 bills, 5 $10 bills, 5 $20 bills, and 1 $100 bill. Is it likely that you will win enough to pay for

your ticket? Justify your answer.