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Algebra B - Compound Probability

Total questions: 14

Worksheet time: 41mins

Name
Class
Date
1.
A jar contains 2 green marbles, 4 blue marbles, 3 yellow marbles, and 2 black marbles. A marble is chosen at random from the jar and replaced. Then a second marble is chosen at random. Find the probability of the first marble being green and the second marble being yellow. 
a)
4/121
b)
8/121
c)
3/121
d)
6/121
2.
A coin and a number cube with the numbers 1 through 6 are tossed. What is the probability of the coin showing tails and the number cube showing the number 3? 
a)
1/12
b)
1/4
c)
1/8
d)
1/2
3.
Two cards are drawn from a standard deck of cards and no cards are returned to the deck. Identify whether the events are independent or dependent. 
a)
Independent
b)
Dependent
4.
A bag contains 5 yellow, 4 green, and 2 blue marbles. One marble is drawn and immediately put back in the bag. Then a second marble is drawn. Identify whether the events are independent or dependent. 
a)
Independent
b)
Dependent
5.
Two marbles are randomly drawn from a bag containing 3 purple, 1 blue, and 1 yellow marble. The first marble is blue and is not replaced. Find the probability of drawing a second marble that is purple. 
a)
3/5
b)
3/4
c)
3/20
d)
2/5
6.
P(1 and A)
a)
1/16
b)
1/10
c)
4/16
d)
1/4
7.
Probability can be written as ...
a)
a fraction
b)
a decimal
c)
a percent
d)
all of the above
8.
A fruit basket contains
9 apples, 3 bananas, 7 oranges, 5 pears, and 1 grapefruit. Kyle randomly chooses a fruit, does not replace it, then chooses another. What is the probably that he chose two pears? 
a)
9/49
b)
4/125
c)
1/10
d)
1/30
9.
What is the probability of spinning red?
a)
0
b)
5/12
c)
1/2
d)
3/4
10.
The letters that form the word ALGEBRA are placed in a bowl. What is the probability of choosing a letter other than “A”? 
a)
2/7
b)
5/49
c)
5/7
d)
10/49
11.
Twenty-five people were asked which gift was their favorite.  Using the table,which statement is false?
a)
Perfume & flowers were equally favored
b)
Jewelry was the favorite 1/5 of the time.
c)
Perfume & clothes were favored half the time.
d)
Flowers were twice as popular as clothes
12.
A number cube is rolled twice. What is the probability of getting a 6 on the first roll, then a number less than 5 on the second roll? 
a)
2/3
b)
5/36
c)
1/9
d)
1/36
13.
Sam is fishing in a new catch and release pond that was just stocked with 3 bluegill, 4 catfish, 7 bass, and 2 carp. He catches a fish, releases it, then catches another. What is the probability that he caught a bluegill, then a carp? 
a)
1/40
b)
1/8
c)
3/124
d)
5/16
14.
You roll a six sided die. What is the probability of rolling an even number three times in a row? 
a)
3/100
b)
1/2
c)
1/6
d)
1/8