Math Flash card notes probability

Question 1

What defines an independent event?

Answer 1

An independent event is one whose likelihood is not affected by any previous event.

Question 2

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

Answer 2

50%

Question 3

What characterizes dependent events?

Answer 3

The occurrence of one event affects the chance of a subsequent event occurring.

Question 4

What happens to the likelihood of drawing a spade if one spade is drawn and not replaced?

Answer 4

The likelihood of drawing another spade is reduced.

Question 5

What is conditional probability?

Answer 5

Conditional probability is the likelihood of dependent events occurring.

Question 6

What is the probability of rolling a 6 given that a fair die has rolled an even number?

Answer 6

1/3

Question 7

What is the probability of event B occurring denoted as?

Answer 7

P(B)

Question 8

What is the notation for the conditional probability of event A given event B?

Answer 8

P(A|B)

Question 9

What is the notation for the conditional probability of event B given event A?

Answer 9

P(B|A)

Question 10

What is the joint probability of events A and B occurring?

Answer 10

P(A and B)

Question 11

What is the formula for establishing independence between two events A and B?

Answer 11

P(A and B) = P(A) * P(B)

Question 12

What is the formula for conditional probability?

Answer 12

P(A|B) = P(A and B) / P(B)

Question 13

Are events A and B independent if Ebru’s card was the Jack of Spades and he doesn’t replace it?

Answer 13

No

Question 14

Are events C (card is a 5) and D (card is a queen) independent?

Answer 14

No

Question 15

What is the probability of event D happening?

Answer 15

Not specified in the text.