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Compound Probability

Total questions: 14

Worksheet time: 1hrs 4mins

Name
Class
Date
1.
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
2.
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
3.
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
4.
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
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.
How many total outfit options are represented?
a)
12
b)
22
c)
3
7.
P(2 then 5) = 
a)
1/6
b)
1/12
c)
1/36
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.
A letter of the alphabet is chosen at random, then a coin is flipped. What is the probability of choosing a letter from the word MATH then getting tails? 
a)
17/26
b)
1/13
c)
5/13
d)
5/26
10.
P(1 and A)
a)
1/16
b)
1/10
c)
4/16
d)
1/4
11.
Probability can be written as ...
a)
a fraction
b)
a decimal
c)
a percent
d)
all of the above
12.
You flip a nickel three times.
Find the probability that all flips will land on tails.
a)
1/2
b)
1/4
c)
1/6
d)
1/8
13.
The tree diagram shows the outcomes of rolling a die and flipping a coin.  
What is the probability of rolling an even number and flipping a head?
a)
3/12
b)
1/2
c)
4/12
d)
0/12
14.
P(a red card and then an orange card)
DO NOT replace
a)
3/58
b)
14/30
c)
2/5
d)
7/60