Exploring Theoretical Probability in College Algebra

The video tutorial introduces the concept of probability, explaining how to compute the likelihood of events using examples like coin tosses and dice rolls. It covers the basic formula for probability, which involves dividing the number of successful outcomes by the total number of possible outcomes. The tutorial provides detailed examples, including calculating the probability of getting heads in a coin toss and the probability of rolling a sum of seven with two dice. The video emphasizes understanding equally likely outcomes and how to list them to compute probabilities accurately.

What is the probability of getting heads when flipping a fair coin?

• 1/3

• 1/2

• 1/4

• 3/4

How many possible outcomes are there when flipping a coin three times?

• 6

• 10

• 8

• 12

What is the probability of seeing exactly two heads in three coin flips?

• 1/2

• 3/8

• 2/3

• 1/4

What is the probability of observing at least one tail in three coin flips?

• 1/2

• 7/8

• 3/4

• 5/8

How many equally likely outcomes are there when rolling two dice?

• 12

• 24

• 48

• 36

What is the probability of rolling a sum of 7 with two dice?

• 1/12

• 1/8

• 1/18

• 1/6

How many ways can you achieve a sum of 7 with two dice?

• 4

• 5

• 7

• 6

What is the probability of rolling a sum of 11 with two dice?

• 1/18

• 1/12

• 1/9

• 1/6

If you roll two dice, which sum is more likely to occur, 7 or 11?

• 11

• 7

• It depends on the dice

• Both are equally likely

What is the reduced fraction of the probability of rolling a sum of 7 with two dice?

• 1/18

• 1/6

• 1/8

• 1/12