Math Section1

Question 1

What is probability?

Answer 1

the likelihood that an outcome will occur

Question 2

What is the probability the Sun will rise in the West tomorrow?

Answer 2

0%, the Sun always rises in the East

Question 3

What is the probability the Sun will set in the West?

Answer 3

100%, the Sun always sets in the West

Question 4

What is the probability the Sun will rise in the East?

Answer 4

100%, the Sun always rises in the East

Question 5

What is the probability the Sun will set in the East?

Answer 5

0%, the Sun always sets in the West

Question 6

What is an impossible probability?

Answer 6

a probability of 0, something that is impossible.

Question 7

What is the probability of something that is guaranteed?

Answer 7

100%.

Question 8

What is the probability of something that is equally likely as unlikely?

Answer 8

50%

Question 9

What is the favorable outcome?

Answer 9

the outcome we are trying to predict the probability of

Question 10

What is the formula for probability?

Answer 10

P = number of times favorable event occurs/total number of times any event occurs

Question 11

How many outcomes can occur when flipping a coin?

Answer 11

2

Question 12

How many outcomes can occur when rolling a number cube? (A number cube = dice)

Answer 12

6

Question 13

How many outcomes can occur on a standard deck of cards?

Answer 13

52

Question 14

How many diamonds are in a standard deck of cards?

Answer 14

13

Question 15

How many spades are in a standard deck of cards?

Answer 15

13

Question 16

How many clubs are in a standard deck of cards?

Answer 16

13

Question 17

How many hearts are in a standard deck of cards?

Answer 17

13

Question 18

What are the 4 suits in a standard deck of cards?

Answer 18

hearts, clubs, diamonds, and spades

Question 19

What are the 2 colors used in a standard deck of cards?

Answer 19

red and black

Question 20

How many of each number are in a standard deck of cards?

Answer 20

4 each, 1 for each suit

Question 21

What is the Theoretical Model of Probability? (theoretical probability)

Answer 21

the probability in theory

Question 22

What is Experimental Probability?

Answer 22

data collected when outcomes are recorded in an experiment, favorable outcomes/number of trials

Question 23

What is the formula for the Theoretical Model of Probability?

Answer 23

favorable outcomes/total outcomes

Question 24

What is the formula for Experimental Probability?

Answer 24

favorable outcomes produced/number of trials

Question 25

If the favorable event is A, what is its complement?

Answer 25

A', or A prime

Question 26

What is the complement of a favorable event?

Answer 26

when the favorable event does not happen

Question 27

P(A) + P(A') = _

Answer 27

1

Question 28

What are independent events?

Answer 28

events that are unrelated, the outcome of P(A) doesn't affect P(B)

Question 29

What is the formula for independent events?

Answer 29

P(A ∩ B) = P(A) * P(B)

Question 30

What are dependent events?

Answer 30

events where the second event is dependent on the first

Question 31

What is the formula for dependent events?

Answer 31

P(A ∩ B) = P(A) * P(B|A)

Question 32

What are mutually exclusive events?

Answer 32

events that can't occur at the same time

Question 33

What is the formula for mutually exclusive events?

Answer 33

P(A or B) = P(A) + P(B)

Question 34

P(A ∩ B) = 0 when events are ____________ _________________.

Answer 34

mutually exclusive

Question 35

What is a permutation?

Answer 35

the ordered arrangement of elements in a set

Question 36

What is the fundamental counting principle?

Answer 36

if one event can occur m ways and another can occur in n ways, then the number of ways both can occur is m*n

Question 37

What is a factorial represented by?

Answer 37

!

Question 38

What does a factorial mean?

Answer 38

the product of all whole numbers starting from the number to the left of the factorial down to 1

Question 39

What is the permutations formula?

Answer 39

nPr = n!/(n-r)!

Question 40

What is the combinations formula?

Answer 40

nCr = n!/(n-r)! * r!