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

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

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

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

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

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 red and are numbered from 1 to 7.
a)
What is the probability of drawing a slip of paper with an even number?

Choose:
 8/15 7/15 6/15 5/15

b)
A slip is drawn from the bag and then replaced.  A second slip is drawn.  Are these two events independent?

Choose:
 Yes No

c)
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

d)
You wish to draw a blue slip on the first draw and a red slip on the second draw.  The first slip is NOT replaced after being drawn.  Are these events independent?

Choose:
 Yes No

 7 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 Answer Part a: 1/2 x 1/2 = 1/4 Part b: 1/4 x 1/4 = 1/16 Part c: 1/4 x 1/2 = 1/8 Part d: 3/4 x 3/4 = 9/16

 8. 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 Answer Part a: 8/18 x 7/17 x 6/16 = 0.07 Part b: 6/18 x 5/17 x 4/16 = 0.02 Part c: 6/18 x 8/17 x 7/16 = 0.07 Part d: 4/18 x 8/17 x 6/16 = 0.04 Part e: RWW + WRW + WWR (4/18 x 6/17 x 5/16) + (6/18 x 4/17 x 5/16) + (6/18 x 5/17 x 4/16) = 0.07

9.
Given events A and B, such that P(A) = 0.6,
P(B) = 0.5, and P(AB) = 0.8. Determine whether A and B are independent or dependent.

Choose:
 independent dependent

10.
Students were surveyed as to which hand was used predominantly for writing. The choices were left-hand, right-hand, or ambidextrous (both hands used equally).
 MathBits Hand Used for Writing Gender Left Right Both Male 15 70 9 Female 10 90 6
For the students surveyed, does this data suggest that gender and preferred writing hand are independent of each other?
Choose:
 Yes No

11.
Stephie plans to jog tomorrow. She chooses the lake path 50% of the time. There is a 30% chance of rain during her jog tomorrow. If the probability that it rains given that Stephie jogs the lake path is 30%, it can be concluded that these two events are:

Choose:
 independent mutually exclusive dependent complements

12.
A survey asked 150 high school seniors to choose their favorite activity from the choices of snowmobiling, water skiing, and snow skiing.
 MathBits Favorite Activity Gender snowmobiling water skiing snow skiing Total Male 50 45 60 155 Female 30 50 90 170 Total 80 95 150 325
Are the events "student is a male" and "student prefers snowmobiling" independent of each other?
Choose:
 Yes No