Quiz about 10.5 Independent and Dependent Probability

Question 1

Is the event INDEPENDENT or DEPENDENT?
You have a jar with 24 pieces of chocolate candy and 14 pieces of orange candy. We take one piece of candy at random from the jar, put it back, and then take a second piece of candy at random from the jar.

Accepted Answer

Independent

Answer

Dependent

Question 2

Is the event INDEPENDENT or DEPENDENT?

Amy plays card games. She picks a card at random. Then without putting the first card back, she picks a second card at random.

Accepted Answer

Dependent

Answer

Independent

Question 3

Is the event INDEPENDENT or DEPENDENT?
The spinner is spun twice. What is the probability that it lands on red first and then blue?

Accepted Answer

Independent

Answer

Dependent

Question 4

Suppose two tiles are drawn from the collection shown. The first tile is  not replaced before the second tile is drawn. Find P(A and A)

Accepted Answer

1/105

Answer

4/225

Answer

3/71

Question 5

A bag has 2 yellow marbles and 8 brown marbles. Nancy takes out two marbles without replacing the marbles. What is the probability that they will both be yellow?

Accepted Answer

1/45

Answer

2/19

Answer

1/10

Answer

1/25

Question 6

Suppose a number cube is rolled twice. What is the probability that an odd number will show both times?

Accepted Answer

1/4

Answer

1/3

Answer

1/2

Answer

1/6

Question 7

A coin is tossed and a number cube is rolled. Find the probability,  P(heads and 7).

Accepted Answer

0

Answer

1/14

Answer

1/2

Answer

1/7

Question 8

A number cube is rolled and a coin is tossed. What is the probability of rolling a number greater than 4 and tossing tails?

Accepted Answer

1/6

Answer

1/3

Answer

1/2

Answer

1/4

Question 9

Dependent probability happens when the first item is not replaced, causing the total outcomes to decrease by 1.

Accepted Answer

true

Answer

false

Question 10

A bag contains 2 striped cubes, 5 dotted cubes, 5 white cubes and 3 red cubes. What is the probability of drawing two striped cubes in succession, without replacing the first cube drawn?

Accepted Answer

dependent

Answer

independent

Question 11

A pocket contains 3 pennies, 2 nickels, 1 quarter and 4 dimes. What is the probability of randomly choosing a dime, replacing it, and then drawing a penny?

Accepted Answer

independent

Answer

dependent

Question 12

Given a standard deck of 52 playing cards, what is the probability of randomly drawing a 2 and then a 3 if the first card is not replaced?

Accepted Answer

4/663

Answer

1/13

Answer

1/676

Answer

1/169

Question 13

Ten cards numbered 1-10 are placed in a hat. What is the probability of randomly drawing a card with an even number then a card with a number greater than or equal to five if the first card is replaced?

Accepted Answer

3/10

Answer

1/4

Answer

2/3

Answer

3/5

Question 14

What is the probability of tossing a coin four times and getting tails each time?

Accepted Answer

1/16

Answer

1/8

Answer

1/2

Answer

1/4

Question 15

A bag contains 2 striped cubes, 5 dotted cubes, 5 white cubes and 3 red cubes. What is the probability of drawing two striped cubes in succession, without replacing the first cube drawn?

Accepted Answer

dependent

Answer

independent

Question 16

Which event is not a dependent event?

Accepted Answer

Picking an earring, replacing it, then picking a 2nd earring

Answer

Picking 2 students to be the line leader and the door holder from a group of 20 students

Answer

Picking 2 marbles from a bag without replacing the first marble

Answer

Picking 2 crayons from a box without putting any back

Question 17

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(white, then purple, then black)

Accepted Answer

1/36

Answer

2/39

Answer

5/41

Answer

6/43

10.5 Independent and Dependent Probability

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