Theoretical Theoretical ProbabilityProbability

Turn to textbook page 239 to play Never a Six.

(See handout for game board.)

Let’s think about the game . . .a) List all the possible

outcomes for a single roll of a die.

b) Do all the numbers seem to have an equal chance of occurring? Why or why not?

An event is a set of outcomes for a particular experiment.

For example, in Never a Six the outcomes a roll of 4 and a roll of 5 makeup the event scoring more than three points on a single roll.

When you find the probability of an event without doing an experiment, it is called theoretical probability.

•You can find the theoretical probability when the outcomes are equally likely.

Find the theoretical probability (as a fraction in lowest terms) of the event scoring more than 3 points on the first roll of a turn?

Find the theoretical probability (as a fraction in lowest terms) of the event scoring a 2 on the first roll of a turn?

Find the theoretical probabilitytheoretical probability of the following events if rolling a die in the game Never a Six. Express your answer as a fraction in lowest terms.

. a. Scoring less than 3

b. Scoring an odd number of points

c. Scoring 0, 1, 2, 3, 4, or 5 points

d. Scoring 0 points

e. Scoring 6 points

If an event cannot happen, it is an impossible event, and it has a probability of 0.

If an event must happen it is a certain event, and has a probability of 1.

Impossible, likely, or certain????

•Roll a 7 on a die?

•Spin a yellow on this spinner

•Landing on 1, 2, 3, or 4 on

the spinner