Probability of Compound and Independent/Dependent Events

CHECKERS In a game of checkers, there are 12 red game pieces and 12 black game pieces. Julio is setting up the board to begin playing. What is the probability that the first piece is red and the second piece is black?

• 1/12

• 6/23

• 1/144

• 1/72

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

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. Find the probability of drawing a pawn, a knight, and another pawn from the bag of white pieces.

• 1/256

• 1/144

• 1/30

• 1/120

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

• 1/15

• 1/5

• 1/10

• 1/6

Each spinner is spun. Find the probability of P(vowel and even)

• 1/15

• 1/5

• 1/10

• 1/6

There are 3 red, 1 blue, and 2 yellow marbles in a bag. Once a marble is selected, it is not replaced. Find P(red and then yellow)

• 1/5

• 1/10

• 1/15

• 1/20

here are 3 red, 1 blue, and 2 yellow marbles in a bag. Once a marble is selected, it is not replaced. Find P(three ted marbles)

• 1/5

• 1/10

• 1/15

• 1/20

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