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Directions: Read carefully. Choose the best answers.
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:
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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:
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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:
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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:
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5. |
A pair of dice is rolled and the resulting number is odd. Which of the following events is the complement of this event? |
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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:
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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? |
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Choose:
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b) |
A slip is drawn from the bag and then replaced. A second slip is drawn. Are these two events independent? |
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Choose:
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c) |
A possible event is that a blue slip is chosen. What is the probability of the complement of this event? |
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Choose:
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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? |
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Choose:
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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
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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.
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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
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9. |
Given events A and B, such that P( A) = 0.6,
P( B) = 0.5, and P( A∪ B) = 0.8. Determine whether A and B are independent or dependent.
Choose:
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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 |
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For the students surveyed, does this data suggest that gender and preferred writing hand are independent of each other?
Choose:
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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:
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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
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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:
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