Lec 1: Motivation

Question 1

Flip two dice. What is the probability that it will land on 6? or on 5?

Answer 1

1/6

Question 2

Flip two dice. Green and red dice. What is the probability of green = 6 and red = 5?

Answer 2

1/6 * 1/6

Question 3

Flip two dice. Red and red dice. What is the probability of red = 5 and red = 6?

Answer 3

2 x 1/6 x 1/6

Question 4

Flip two dice. Red and red dice. What is the probability of red = 5 and red - 5?

Answer 4

1/6 x 1/6

Question 5

Define indistinguishable

Answer 5

Two objects are indistinguishable if exchanging them makes no difference

Question 6

Are mathematical objects(points, lines) indistinguishable?

Answer 6

yes

Question 7

Are physical objets indistinguishable?

Answer 7

no, we can mark them so they are distinguishable

Question 8

Are poker cards indistinguishable?

Answer 8

no, unless they are marked (which is illegal)

Question 9

Are iPhones of the same model indistinguishable?

Answer 9

yes, but iPhone covers can make the iPhones distinguishable

Question 10

Are dollars indistinguishable?

Answer 10

Yes, thats what makes the economy work (compare that to bartering)

Question 11

Are fruit indistinguishable?

Answer 11

Yes, they have the same DNA

Question 12

Are animals of a species indistinguishable?

Answer 12

yes

Question 13

Are people indistinguishable?

Answer 13

arguable

Question 14

What is the law of large numbers?

Answer 14

the average of the results obtained from a large number of trials should be close to the expected value. in other words, the sequence of running averages converges to the true probability.

Question 15

What is a running average?

Answer 15