Probability: Events, Outcomes, and Probability of Single and Compound Events

This video tutorial covers various aspects of probability, including events and outcomes, probability of single and compound events, experimental and theoretical probability, and sample spaces. It explains how to calculate probabilities using ratios and the fundamental counting principle, and distinguishes between independent and dependent events. The video also provides practical examples and exercises to reinforce understanding.

What is the probability of an event that is certain to happen?

• 0%

• 50%

• 100%

• 75%

If you roll a six-sided die, what is the probability of rolling an odd number?

• 1/3

• 2/3

• 1/2

• 1/6

In a deck of cards, if there are no diamonds, what is the probability of drawing a diamond?

• 0

• 1/2

• 1

• 1/4

If a die is rolled 100 times and a '3' appears 16 times, what is the experimental probability of rolling a '3'?

• 1/6

• 1/4

• 3/25

• 4/25

Using experimental probability, if 6 out of 25 customers buy insurance, how many out of 550 would you expect to buy it?

• 110

• 132

• 165

• 150

What is the theoretical probability of spinning a green section if there are 2 green sections out of 8?

• 3/4

• 1/8

• 1/4

• 1/2

How many different sandwich combinations can be made with 3 types of bread, 4 meats, 2 condiments, and 3 cheeses?

• 72

• 48

• 36

• 24

What is the probability of rolling a 3 and then a 5 on two separate dice rolls?

• 1/12

• 1/18

• 1/24

• 1/36

If you draw a yellow marble from a bag of 20 marbles and then a blue marble from the remaining 19, what is the probability of this sequence?

• 4/95

• 6/95

• 5/95

• 7/95

How many possible outcomes are there when flipping a coin and rolling a six-sided die?

• 6

• 12

• 18

• 24