Probability of Compound Events (Independent and Dependent)

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

The measure of the likelihood that an event will occur. The chance that an event will happen. A ratio of chance/all chances.

• odds

• probability

• outcomes

• tree diagram

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

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

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