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Remember:
Theoretical
probability
is
the ratio of the number of ways the event can occur to the total
number of possibilities in the sample space.
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Answer the following questions
using your knowledge of the theoretical probability
associated with each situation.
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1. |
A dime is
tossed. It is a fair, unbiased coin.
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a.
What is the sample space?
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b.
What is the probability that a head will appear?
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c.
What is the probability that a tail will appear?
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2. |
A die is
tossed. It is a fair, unbiased die.
List the outcomes for each event below and
the probability of the event.
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a.
A number less than or equal to 3 appears.
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b.
An odd number is tossed.
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c. A
number greater than 2 appears.
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3. |
A
standard deck of 52 cards is shuffled and one card is
drawn. What is the probability that the card is:
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a.
a black card?
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b.
a king?
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c.
an eight of
spades?
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4. |
A class contains 18
boys and 12 girls. The teacher calls on students at
random to recite. What is the probability that the
first student called upon to recite is:
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a.
a boy?
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b.
a girl?
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5. |
A
letter is chosen at random from a given word. Find
the probability that the letter is a vowel if the word is:
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a.
ALGEBRA
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b.
PROBABILITY
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6. |
A
standard deck of 52 cards is shuffled. What is the
probability of choosing the 5 of diamonds?
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Choose:
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7. |
A
spinner contains eight regions, numbered 1 through
8. The arrow has an equally likely chance of landing
on any of the eight regions. If the arrow lands on
the line, it is spun again. What is the probability
that the arrow lands on an odd number?
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Choose:
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