WorksheetsProbability Independent and Dependent Events
Total questions: 11
Worksheet time: 34mins
Name
Class
Date
1.
A bag contains some red-colored and some blue-colored marbles. First a red-colored marble is drawn and then, without replacing the first marble, a blue-colored marble is drawn. Are the two events dependent or independent?
a)
Independent
b)
Dependent
2.
Two marbles are drawn from a container in such a way that the first marble drawn is replaced before selecting the second marble. Does the outcome of the first draw affect the outcome of the second?
a)
Yes
b)
No
3.
There are 6 red marbles, 5 green marbles, and 4 yellow marbles in a bag. If Joe picks 2 marbles one after the other without replacement, then what is the probability that both are red in color?
a)
2/5
b)
1/21
c)
4/25
d)
1/7
4.
There are 2 violet balls and 4 pink balls in a bag. If two balls are drawn one after the other, then what is the probability of getting violet first and pink next, if the first ball drawn is replaced?
a)
1/3
b)
2/9
c)
1/6
d)
1/4
5.
There are 5 red roses, 3 yellow roses, and 8 white roses in a tray. If Stephanie picked 2 roses one after the other without replacing, then what is the probability of picking a white rose first and a red rose next?
a)
1/6
b)
5/6
c)
1/3
d)
2/3
6.
A basket contains 5 purple pencils and 9 brown pencils. If two pencils are picked at random one after the other without replacement, then what is the probability that both the pencils are purple?
a)
9/182
b)
5/182
c)
2/91
d)
10/91
7.
What is the probability of rolling an even number on the first roll of a number cube and rolling an odd number on the second roll?
a)
1/4
b)
1
c)
1/8
d)
1/2
8.
Two fair coins are tossed. What is the probability of getting at most one head? (Hint: Create a sample space)
a)
1/2
b)
3/4
c)
1/4
d)
1
9.
Two cards are drawn from a deck of 52 cards. What is the probability that the first card drawn is a king and the second card drawn is a heart, given that the first card is replaced?
a)
2/52
b)
1
c)
13/52
d)
1/52
10.
A box contains all the letters of the word U N D E R S T A N D. What is the probability of selecting an 'N' first and a 'D' next, if the first letter is replaced?
a)
3/50
b)
1/25
c)
1/10
d)
2/5
11.
There are 10 pens and 15 pencils in a box. If a student selects two of them at random, then what is the probability of selecting a pen and then a pencil?
a)
7/12
b)
1/2
c)
1/4
d)
11/12
100 %
