Independent & Dependent Events

A jar contains 4 white chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced. P(purple then black)

• 1/18
• 2/5
• 3/7
• 4/9

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

Tags

CCSS.HSS.CP.A.5

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

• 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

Is the event DEPENDENT or INDEPENDENT? Two fair coins are flipped at the same time. What is the probability that both with display heads?

• Independent

• Dependent

Tags

CCSS.HSS.CP.A.5

There are 5 red roses, 3 yellow roses, and 8 white roses in a tray. If Stephanie picked 2 roses one after the other without replacing, then what is the probability of picking a white rose first and a red rose next?

• 1/6

• 5/6

• 1/3

• 2/3

Two cards are drawn from a deck of 52 cards. What is the probability that the first card drawn is a king and the second card drawn is a heart, given that the first card is replaced?

• 2/52

• 1

• 13/52

• 1/52