4.1 Theoretical and Experimental Probability

Unit 4, Lesson 1: Theoretical and Experimental Probability

• probability

• experimental probability

• theoretical probability

• odds in favor

• odds against

how likely something is to happen measured by the ratio of the favorable cases (number of ways it can happen) to the whole number of cases possible (total number of outcomes)

the ratio of the number of times an event actually happens to the number of times the experiment is done

the ratio of the number of favorable outcomes to the number of possible outcomes

comparing favorable outcomes and unfavorable outcomes

odds in favor of an event is the ratio of the number of favorable outcomes to the ratio of the number of unfavorable outcomes.

odds against an event is the ratio of the number of unfavorable outcomes to the ratio of the number of favorable outcomes

comparing favorable outcomes and unfavorable outcomes

Theoretical Probability

A number cube (a dice) with the numbers 1 through 6 is rolled. Find the given probability.

​

P (number < 2)​

You​ read this as, "Probability of a number less than 2."

​

Theoretical Probability

A number cube (a dice) with the numbers 1 through 6 is rolled. Find the given probability.

​

P (number ≥ 3)​

You​ read this as, "Probability of a number greater than or equal to 3."

​

Theoretical Probability

A number cube (a dice) with the numbers 1 through 6 is rolled. Find the given probability.

​

P (complement of 4)​

You​ read this as, "Probability of a complement of 4."

Wait, what's a complement? A complement is the exact opposite. So​, what is the probability of NOT rolling a 4?

​

Theoretical Probability

A multiple choice question has 5 possible answers. What are the odds in favor of guessing the right answer?

​