Probability,Combination, Permutation

The table shows the probabilities and payoffs for the three possible outcomes of a random experiment. Is this game favorable to someone paying to play? Explain.

Formal: In mathematics, a ___________ is a selection of items from a collection, such that (unlike permutations) the order of selection does not matter.

Formal: A mathematical term relating to the likeliness of two independent events occurring. _________ ___________ is equal to the probability of the first event multiplied by the probability of the second event.

Simple Definition: In math, an ________ is something that could happen in an experiment. Since there are many outcomes, or results that could happen, there are many events in experiments.

6! / 4! could represent the equation for the letters in the data set

• { F , O , U , R , T , H }

• { V , O , O , D , O , O }

• { W , A , L , L , E , T }

• { Z , I , Z , Z , L , E }

P(Sandals|Pants):

• 4/20
• 6/15
• 1/2
• 2/7

Suppose that a survey of 350 college students is taken. The table to the right summarizes their answers to questions about the type of college they are attending, and their family’s income level. Find the probability that a randomly selected student is from a private college or is from a high-income family.

• $\frac{148}{350}$

• $\frac{120}{350}$

• $\frac{28}{350}$

• $\frac{98}{350}$

7! / 4! 3! =

• 1

• 35

• 420

• 720

How many possible arrangements of the letters, abcd, are missing from the list?

• 4

• 6

• 8

• 24

What is the probability that the friend I call has a Disney+ account OR their name starts with the letter J?

•  $\frac{8}{11}$ 

• $\frac{7}{11}$

• $\frac{6}{11}$

•  $\frac{2}{6}$