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Answer the following questions dealing with probabilities.
Grab your graphing calculator.
| 1. |
A locker combination system uses
three digits from 0 to 9. How many different
three-digit combinations with no digit repeated are
possible?
Choose:
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| 2. |
A fair coin is tossed three times.
What is the probability that the coin will land
tails up on the second toss?
Choose:
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| 3. |
A square dartboard
is represented on the accompanying diagram.
The entire dartboard is the first quadrant from x =
0 to 6 and from y = 0 to 6. A triangular
region on the dartboard is enclosed by the graphs of
the equations y = 2, x = 6, and y = x. Find
the probability that a dart that randomly hits the
dartboard will land in the triangular region formed
by the three lines.
Answer |
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| 4. |
A bag contains 12 red M&Ms, 12
blue M&Ms, and 12 green M&Ms. What is the
probability of drawing two M&Ms of the same color in
a row? When the first M&M is drawn, it is
looked at and eaten.
(HINT: This is a
conditional probability problem.)
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Choose:
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| 5. |
A 10 x 20 foot mural,
depicted below, shows a triangularly shaped region at
the bottom of the mural. Find the probability that
a point selected at random will lie in this triangular
region of the mural.
Answer |
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| 6. |
The telephone company has run out of
seven-digit telephone numbers for an area code. To fix this
problem, the telephone company will introduce a new area code.
Find the number of new seven-digit telephone numbers that will be
generated for the new area code if both of the following conditions
must be met:
• the first digit cannot be a zero or a one
• the first three digits cannot be the emergency
number (911) or the number used for
information (411). |
Answer |
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| 7. |
Alex's wallet contains four $1 bills, three $5 bills,
and one $10 bill. If Alex randomly removes two bills without
replacement, determine whether the probability that the bills will
total $15 is greater than the probability that the bills will total
$2.
Answer |
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| 8. |
The party registration of the
voters in Jonesville is shown in the table. If one of the
registered Jonesville voters is selected at random, what is the
probability that the person selected in not a Democrat?
Answer |
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Registered Voters in
Jonesville |
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Party |
Number of voters registered |
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Democrat |
6,000 |
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Republican |
5,300 |
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Independent |
3,700 |
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| 9. |
A bag of cookies
contains 6 chocolate chip cookies, 5 peanut butter
cookies,
and 1 oatmeal cookie. Brandon selects
2 cookies at random. Find the probability that Brandon selected :
a) 2 chocolate chip cookies
Answer
b) 1 chocolate chip cookie and 1 peanut
butter cookie
Answer
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| 10. |
A bag contains three chocolate, four sugar, and five lemon
cookies. Greg takes two cookies from the bag, at random, for a
snack. Find the probability that Greg did
not take two chocolate
cookies from the bag. Explain why using the complement of the
event of not choosing two chocolate cookies might be an easier approach
to solving this problem.
Answer |
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