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probability part 2

Total questions: 14

Worksheet time: 4hrs 30mins

Name
Class
Date
1.
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
2.

An urn contains 4 purple marbles and 3 pink marbles. Two marbles are drawn at random. What is the probability that both marbles are purple if drawn without replacement?

(a)  

3.
Bag A contains 9 red marbles and 3 green marbles. Bag B contains 9 black marbles and 6 orange marbles. Find the probability of selecting one green marble from bag A and one black marble from bag B.
a)
3/20
b)
1/4
c)
3/31
d)
2/27
4.
A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. Draws are made without replacement.P(both marbles are purple)
a)
2/9
b)
1/3
c)
1/2
d)
1/4
5.
There are six nickels and seven dimes in your pocket. You randomly pick a coin out of your pocket and then return it to your pocket. Then you randomly pick another coin.  What is the probability that the coin is a nickle both times?
a)
36/169
b)
6/13
c)
5/16
d)
3/19
6.

There are seven boys and seven girls in a class. The teacher randomly selects one student to answer a question and can never ask that student again. Later, the teacher randomly selects a different student to answer another question. What is the probability that the first student is a boy and the second student is a girl?

a)
7/26
b)
1/2
c)
2/17
d)
8/29
7.
A jar contains 2 pink, 6 red, and 4 blue marbles. If you pick one marble without looking, what is the probability that the marble you pick will be red or blue?
a)
5/6
b)
1/2
c)
1/3
d)
1/6
8.
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)
a)
1/36
b)
2/39
c)
5/41
d)
6/43
9.
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
10.

a box contains 50 red dice, 30 blue dice and 20 green dice. 2 dice are picked at random without replacement. What is the probability two dice selected are of the same color.

a)

37/99

b)

37/100

c)

38/100

d)

38/99

11.

a box contains 50 red dice, 30 blue dice and 20 green dice. 2 dice are picked at random without replacement. what is the probability of selecting at least 1 red dice?

a)

49/198

b)

149/198

c)

1/4

12.

a box contains 50 red dice, 30 blue dice and 20 green dice. 2 dice are picked at random without replacement. whats the probability of selecting only 1 green die?

a)

32/99

b)

8/25

c)

16/99

d)

4/25

13.

a box contains 5 red batteries, 6 blue batteries, and 7 orange batteries. Two batteries are chosen at random, what is the probability that the batteries will be the different colors?

a)

107/153

b)

103/324

c)

46/153

d)

221/324

14.

a box contains 5 red batteries, 6 blue batteries, and 7 orange batteries. Two batteries are chosen at random, what is the probability that no blue batteries are chosen?

a)

4/9

b)

97/306

c)

22/51

d)

8/17