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Compound Probability

Total questions: 10

Worksheet time: 50mins

Name
Class
Date
1.
Ricardo has the spinner pictured here and a bag of marbles filled with 2 red marbles, 3 green marbles, and 3 blue marbles. What is the probability that Ricardo spins red on the spinner and picks a red marble out of the bag?
a)
1 ⁄ 16
b)
1 ⁄ 2
c)
1 ⁄ 4
d)
1 ⁄ 8
2.

What is the probability of picking a blue marble, putting it back in the bag, then picking a red marble?

a)

37×37\frac{3}{7}\times\frac{3}{7}  

b)

47×47\frac{4}{7}\times\frac{4}{7}  

c)

47×36\frac{4}{7}\times\frac{3}{6}  

d)

47×37\frac{4}{7}\times\frac{3}{7}  

3.
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
4.
In a box there are 3 red pens, 2 green pens, and 1 blue pen. What is the probability of picking a red pen, replacing it, and then picking a green pen?
a)
1/2
b)
4/11
c)
1/6
d)
2/3
5.
What is the probability of the arrow stopping on “X” on the first spin and “F” on the second spin?
a)
5/6
b)
1/36
c)
1/3
d)
1/6
6.
a)
1/2
b)
1/8
c)
1/3
d)
1/12
7.
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
8.
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
9.
Sarah has two spinners.  Spinner A has six equal sections and spinner B has eight equal sections. Sarah will spin the two spinners at the same time.  What is the probability that both spinners will land on a color that is not red?
a)
1/6
b)
7/6
c)
4/7
d)
1/3
10.
Lucy has the spinner pictured and spins it twice in a row. What is the probability that she lands on blue first and then on yellow or green?
a)
1 / 16
b)
1 ⁄ 6
c)
1 ⁄ 8
d)
3 ⁄ 4