Calculating Probabilities with Permutations and Combinations

What is the classical formula for calculating probability?

• Probability = Desired outcomes / Total outcomes

• Probability = Desired outcomes * Total outcomes

• Probability = (Desired outcomes + Total outcomes) / 2

• Probability = Total outcomes / Desired outcomes

In the committee example, how many total possible committees can be formed from 11 people?

• 55

• 11

• 462

• 252

Which concept does not affect the order of selection in a group?

• Factorial

• Arrangement

• Combination

• Permutation

How many ways can two men be selected from five?

• 10

• 25

• 20

• 5

What formula is used to calculate the number of ways three women can be selected from six?

• 3C6

• 3P6

• 6P3

• 6C3

Tags

CCSS.HSS.CP.B.9

What is the probability that the committee consists of two men and three women?

• 10/23

• 200/462

• 100/231

• 50/115

What is the significance of dividing by factorial in combination calculations?

• It decreases the total number of possible outcomes.

• It represents the number of desired outcomes.

• It increases the total number of possible outcomes.

• It adjusts for the order of selection not mattering.

In the card shuffling example, how many total arrangements are possible?

• 100

• 120

• 60

• 48

How many arrangements keep the letters A and B together?

• 48

• 24

• 30

• 120

Tags

CCSS.HSS.CP.B.9

What is the probability that A and B are together in the shuffled cards?

• 1/3

• 3/5

• 2/5

• 1/2

Tags

CCSS.HSS.CP.B.9