Dependent Probability

Compound Probability

Dependent

Dependent Probability

• 2 or more events WITHOUT replacement

• The outcome of one event DOES affect the second event

Open Ended

Red, White, Green, Cyan, Orange and Pink are playing and there is 1 Imposter. What is the Probability that Red is the Imposter?

There are 2 Imposters

Red, White, Green, Cyan, Orange and Pink are playing.  Red is an Imposter. What is the Probability that Yellow is the second Imposter?

Dependent Probability

• Probability of Red 1/6

• New Total is now 5

• Probability of Yellow is 1/5

• 1/6 x 1/5 = 1/30

Multiple Choice

Cyan, Pink, Yellow, Green, White, Red, Orange, Black, Purple and Blue are Playing. There are 2 Imposters. What is the probability that the imposters are Cyan and Green?

• 1/10

• 1/5

• 1/45

• 1/100

Multiple Choice

You are playing with 9 other players. There is 1 imposter. What is the probability that you are a Crewmate?

• 1/9

• 1/10

• 8/9

• 9/10

Multiple Choice

You are playing with 7 other players. There are 2 Imposters. What is the probability that you are an Imposter?

• 1/7

• 1/6

• 1/56

• 2/7

Multiple Choice

You are playing with 5 other people. What is the probability that you are a crewmate? There is 1 Imposter.

• 2/3

• 25/36

• 1/30

• 5/6

Dependent Probability

Without Replacement