Answer the following questions dealing with mutually exclusive events, independent events, and complements of events.

  

1.

A pair of dice is rolled.  Two possible events are rolling a number greater than 8 and rolling an even number.  Are these two events mutually exclusive events?
 

Choose:

yes
no

See Sample Space for Dice

 

 

2.

A pair of dice is rolled.  Two possible events are rolling a number less than 5 and rolling a number which is a multiple of 5.  Are these two events mutually exclusive?   

Choose:

yes
 no

See Sample Space for Dice 

 

 

3.

A pair of dice is rolled.  A possible event is rolling a multiple of 5.  What is the probability of the complement of this event?
 

Choose: 

2/36
12/36
29/36
32/36

See Sample Space for Dice

 

 

4.

A pair of dice is rolled.  Two possible events are rolling a number which is a multiple of 3 and rolling a number which is a multiple of 5.  Are these two events mutually exclusive?

Choose:

yes
no

 
See Sample Space for Dice

 

 

5.

A pair of dice is rolled and the resulting number is odd.  Which of the following events is the complement of this event?

1.  A number greater than 8 is rolled.
2.  An even number is rolled.
3.  A number less than 5 is rolled.
4.  A multiple of 5 is rolled.

Choose:

1
2
3
4


See Sample Space for Dice

 

 

6.

A paper bag contains 15 slips of paper.  Eight of them are blue and are numbered from 1 to 8.  Seven of them are pink and are numbered from 1 to 7.  What is the probability of drawing a slip of paper with an even number?
 

Choose:

8/15
7/15
6/15
5/15

 

 

7.

A paper bag contains 15 slips of paper.  Eight of them are blue and are numbered from 1 to 8.  Seven of them are pink and are numbered from 1 to 7.  A slip is drawn from the bag and then replaced.  A second slip is drawn.  Are these two events independent?

    

Choose:

yes
 no
 

 

 

8.

A paper bag contains 15 slips of paper.  Eight of them are blue and are numbered from 1 to 8.  Seven of them are pink and are numbered from 1 to 7.  A possible event is that a blue slip is chosen.  What is the probability of the complement of this event?

 

Choose:

8/15
7/15
1/3
1/2

 

 

9. A paper bag contains 15 slips of paper.  Eight of them are blue and are numbered from 1 to 8.  Seven of them are pink and are numbered from 1 to 7.  You wish to draw a blue slip on the first draw and a pink slip on the second draw.  The first slip is NOT replaced after being drawn.  Are these events independent?  

 

Choose:

yes
no 

 

 

10. Juan spins the spinner shown below.  He notes the area on which the arrow stops, and then spins it a second time.  Find the probability that the outcome of the two spins is:

a.)  red both times
b.)  white first, blue second
c.)  white first, red second
d.)  not blue both times

 

 

 

11. A sack contains marbles of three different colors:  8 black, 6 white, and 4 red.  Three marbles are selected at random, without replacement.  Find the probability that the selection contains each of the outcomes listed below.  Express the answer as a decimal to the nearest hundredth.

a.)  three black marbles
b.)  three white marbles
c.)  one white marble followed by two
      black marbles
d.)  a red, a black and a white marble,
      in that order
e.)  a red marble and two white marbles,
      in any order