Probability and Expected Values

The video tutorial covers various probability concepts using practical examples. It starts with basic probability calculations using marbles, then explores reverse probability with student returns, and card probabilities with a deck of cards. The tutorial also delves into game probabilities involving marbles and dice, geometric probability with shaded regions, and the likelihood of answering all questions correctly in a multiple-choice test. Finally, it discusses the probability of winning carnival games, emphasizing the importance of understanding probability in different contexts.

What is the total number of marbles in the bag?

• 30

• 10

• 15

• 28

What is the probability of selecting a maroon marble?

• 0/28

• 3/28

• 10/28

• 15/28

What is the probability of not selecting a red marble?

• 1/2

• 9/14

• 10/28

• 18/28

What is the probability of selecting a green marble?

• 10/28

• 0/28

• 3/28

• 15/28

What is the probability of selecting a blue marble?

• 3/28

• 10/28

• 15/28

• 0/28

If 3 out of 4 students return, how many students are expected to return out of 128?

• 32

• 128

• 100

• 96

What is the probability of drawing two diamonds from a deck with replacement?

• 1/52

• 1/4

• 1/13

• 1/16

In a game, what is the probability of picking a red marble and rolling an even number?

• 35/99

• 7/9

• 1/2

• 5/11

What is the probability of picking a red marble or rolling an even number?

• 1/2

• 5/11

• 29/33

• 7/9

What is the probability of a point being in the shaded region?

• 17/20

• 1/2

• 3/4

• 1/4