Probability of Compound and Independent/Dependent Events

A ________ consists of 2 or more events.

• single event

• prediction

• compound event

• experiment

the outcome of the second event does not depend upon the outcome of the first event

• sample space

• dependent

• independent

• impossible

the outcome of the first event affects the outcome of the second event

• equally

• independent

• dependent

• certain

Inger keeps her white and black chess pieces in separate bags. For each color, there are 8 pawns, 2 rooks, 2 bishops, 2 knights, 1 queen, and 1 king. Are the events of drawing a knight from the bag of white pieces and drawing a pawn from the bag of black pieces dependent or independent events? Find the probability of this compound event.

• Independent; drawing a piece from one bag does not affect the pieces in the other bag; 1/16

• Dependent, drawing a piece from a bag affects the pieces in the other bag; 1/16

• Independent; drawing a piece from one bag does not affect the pieces in the other bag; 1/4

• Dependent, drawing a piece from a bag affects the pieces in the other bag; 1/4

Inger keeps her white and black chess pieces in separate bags. For each color, there are 8 pawns, 2 rooks, 2 bishops, 2 knights, 1 queen, and 1 king. Are the events of drawing a bishop from the bag of white pieces and then drawing the queen from the same bag dependent or independent events? Find the probability of this compound event.

• Independent; once a bishop is drawn, there are the same pieces in the bag from which to choose the second piece. 1/120

• Dependent; once a bishop is drawn, there are fewer pieces in the bag from which to choose the second piece; 1/128

• Independent; once a bishop is drawn, there are the same pieces in the bag from which to choose the second piece. 1/128

• Dependent; once a bishop is drawn, there are fewer pieces in the bag from which to choose the second piece; 1/120

Each spinner is spun. Find the probability of P(A and 2)

• 1/15

• 1/5

• 1/10

• 1/6

A marble bag contains 3 red marbles, 4 gray marbles, 6 white marbles, and 5 black marbles. What is the probability of randomly drawing a red marble and then a gray marble if the first marble is replaced?

• 1/36

• 2/51

• 4/81

• 1/27

Two socks are drawn from a drawer which contains one red sock, three blue socks, two black socks, and two green socks. Once a sock is selected, it is not replaced. Find P(a black sock and then a green sock)

• 1/4

• 1/2

• 1/16

• 1/14

There are three quarters, five dimes, and twelve pennies in a bag. Once a coin is drawn from the bag, it is not replaced. If two coins are drawn at random, find P(two pennies)

• 9/25

• 33/100

• 33/95

• 3/5

There are three quarters, five dimes, and twelve pennies in a bag. Once a coin is drawn from the bag, it is not replaced. If two coins are drawn at random, find P(dime, quarter then a penny)

• 1/76

• 1/4

• 3/114

• 1/2