Period
Review 11.1 - 11.3
Anchor(s): F,3,84
Use the fundamental countins principle to solve the following problerns.
1.
An ice cream shop offers 33 flavors of ice cream ar:dT toppings. How many different
sundaes can the.shop make using 1 flavor and I topping?
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2. You must make a password for your email account. The password must consist of
two letters followed by four digits. How many different passwords are possible?
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3. Your father
is buying a sport coat, a pair of pants, and a tie. Sport coats come in 6
differentcolors. Pantscomein4differentcolors. There arc25 differenttiestylesto
choose from. How many different combinations are possible?
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II. Evaluate each expression.
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Decide whether to use permutation or combination for each situation. Then solve the
problem.
11.
An ice cream parlor offers 14 different types of ice cream. In how many different
ways can you select 5 types of ice cream to sample?
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12. Eleven groups entered a science fair competition. In how many ways can the groups
finish first, second, and third?
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13. Your aunt is ordering appetizers for her and her family. The restaurant offers 10
different appetizers. She will select 4 appetizers. How many different groups
of appetizers :an your aunt possibly select?
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14. How many different S-letter security codes can you make from the letters in the word
qipher?
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IV.
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Find each experimental probability.
15. A baseball player attempted to steal a base 70 times and was successful 47 times. Find the
experimental probability that the player will
successful on his next attempt to steal a base.
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16. A pitcher struck out 8 of the last32 batters that he faced. What is the probability that he will not
*strike out the next batter that he faces? ' '-1
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17. A student rolled a six-sided number cube 60 times. She rolled a number 4 nine times. What is
the experimental probability of rollinga4?
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V. Reasoning. Use probability to predict the outcome.
18. There are 50 cars in a used car lot. The experimental probability that a car in the lot has two
doors is l2%. How many cars in the lot have two doors?
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VI. A group of five cards are numbered I - 5. You choose one card at randorn.
Find each
theoretical prob ability.
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20. P(even number)
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21, P(less than 5)
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22, P(7)
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Detennine the probability for the given problem.
23. Abox contai ns 24green markers,
16 red marters, arld 10 blue
a. P(red)
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b.
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P(green orblue)
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c. P(not geen)
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Ylll. 24. The spinner shown at the right has four equal-sized sections.
two times.
a. How many outcomes are there?
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b. What
is the sample space?
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c. What
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is the theoretical probability of getting a sum of 4?
Classiff each pair of events
25. Roll a
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x.
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as dependent or independent.
cube. Then roll it again.
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26. Pull acard from
a deck of playing cards. Then
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27. Flip
a
coin. Then spin a spirner.
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pull
a second card.
Suppose you spin the spinner
X. Determine
the probability for the given compound events.
28. suppose you have seven cDs in a box. Four
are rock, one is jazz, and
two are
country. Today you choose one CD without looking, play it, and put it back in the
box. Tomolrow, you do the same thing. What is the probability that you choose a
country CD both days?
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29. You
have a drawer with five pairs of white socks, three pairs of black socks, and
one pair of red socks. You choose one pair of socks at random each moming,
starting on Monday. You do not put the socks you choose back in the drawer.
Find the probability of each event.
a.
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b.
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You select black socks on Mondav an d white socks on Tuesday.
a.
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You select red socks on Mondav
End black socks on Tuesday.
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c. You select white socks on Monday- and Tuesday.
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XI. 30. Use the table
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shown below to answer the following questions.
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Movie Collection
Video
DVD
Action
Comedv
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8
2z
Drama
4
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You randomly pick a video and a DVD. Find the following probabilities.
a. P(action video, comedy DVD)
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b.
P(comedy video, action
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c. P(drama video, comedy DVD)
A.
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