Unit 6: Probability - Lesson 8

Independent Event, they are replacing the marble

Dependent Event, they are not replacing the marble

Independent Event, they are not replacing the marble

Dependent Event, they are replacing the marble

P(Red) = 3/12 = 1/4

P(Green|Red) = 2/11

P(R) + P(G | R) = 1/4 + 2/11 =

19/44

P(Red) = 3/12 = 1/4

P(Green) = 2/12 = 1/6

P(R and G) = 1/4 + 1/6 = 5/12

P(Red) = 3/12 = 1/4

P(Green|Red) = 2/11

P(R) x P(G | R) = 1/4 x 2/11 =

2/44 = 1/22

P(Red) = 3/12 = 1/4

P(Green) = 2/12 = 1/6

P(R and G) = 1/4 x 1/6 = 1/24

Independent, one outcomes doesn't affect the other.

Dependent, one outcomes does affect the other.

Independent, one outcomes does affect the other.

Dependent, one outcomes doesn't affect the other.

P(A & B) = P(A) x P(B|A)

P(A & B) = P(A) x P(B)

P(A & B) = P(A) + P(B)

P(Tails) = 1/2

P(3) = 1/6

P(T & 3) = 1/2 + 1/6 = 8/12 = 3/4

P(Tails) = 1/2

P(3) = 1/3

P(T & 3) = 1/2 x 1/3 = 1/6

P(Tails) = 1/2

P(3) = 1/6

P(T and 3) = 1/6 x 1/2 = 1/12