First Test
MDM 4U
—
Probability A
A. Fill in the blank. You do not need to show your work. Two marks each.
1.
Two dice are thrown. How many ways can you get a sum that is greater
than 3?
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2.
d rt
This spinner is spun. Determine the probability that it lands
on a number less than 4.
3.
A standard deck of cards is shuffled. A card is drawn at random.
Determine the probability that the card is a Queen.
4.
Which of the following represents the shaded
or
5.
Consider sets F,
Q,
B. AflB
4
AB
and R. State the values of:
a)
n(PflR)
=
b)
d)
Q)
n(Q’UR)
I estimate that the odds against rain tomorrow are 8:3. What is the
probability of rain tomorrow?
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3
iz(Q)
c) n(P’ fl
6.
S
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a:
A.AUB
3
2
4b
7.
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Evaluate:
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a)—
8!
87!
b)
84!
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3
c)
8.
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You have to write a multiple choice quiz with three questions. Each question has five choices.
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You decide to choose randomly because you forgot to study.
a) Determine the probability that you will only get one of the questions correct.
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b) Determine the probability that you will get no more than one correct.
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—
9.
In a class there there are 12 people who have a dog as a pet, 9 people have a cat as a pet, and 4
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have both a dog and a cat. If the class has 28 people, how many do not have either?
—
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10. A standard die is rolled 24 times and turns up a “3” six times.
a) What is the experimental probability of rolling a “3” on a given trial?
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b) What is the theoretical probability of rolling a
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c) Explain why these answers are different.
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c
d) If you rolled the die 3000 times, how many times would you expect to roll a “3”?
-C)
11. A sports betting service estimates that the Leafs probability of winning tonight is 75%. They also
estimate that the probability of of them winning tomorrow night is 60%. What is the probability
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that:
a) They win both games.
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b) They lose both games
(bbisSe)
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c) They win only one of the two games?
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12. You draw a card from a standard deck. Determine the probability of the card being a face card or
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a heart.
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13. You randomly choose a marble from a jar. The jar contains 3 i-ed marbles, 7 blue marbles, 6 green
161
marbles, and 4 yellow marbles.
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a) Find the probability of choosing a blue or yellow marble.
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b) If you draw a blue marble first, replace it, and then choose again, what is the probability that
you get a red on on the next draw?
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c) If you don’t replace it, does the probability change? Explain.
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Sum of 2 Dice Chart
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___
First Test
MDM 4U
—
Probability A
A. Fill in the blank. You do not need to show your work. Two marks each.
1.
Two dice are thrown. How many ways can you get a sum less than 3 on
the dice?
2.
This spinner is spun. Detennine the probability that it lands
on a number more than 4.
3.
A standard deck of cards is shuffled. A card is drawn at random.
Determine the probability that the card is a Diamond.
13
\
Which of the following represents the shaded area:
B. AflB
or
A.AUB
4.
A
Consider sets P,
5.
Q, and R.
B
State the values of:
a)
n(NflPvl)
:3I5
b)
n(M)
Zo
4D
6
c)
n(M’ fl JV)
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d)
6.
n(MUR’)
The odds that the Leafs win tomorrow are 4:5. What is the probability that
they lose tomorrow?
9
c
7.
Evaluate:
141
b
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2
c)
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8.
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Are playing a game where you throw a pair of dice three times. You win if you get a sum of seven
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or four on the dice.
a) Determine the probability that you will win exactly twice.(W’N =
= o
25 )(o”S)
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422%
b) Determine the probability that you will win at least twice.
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rwr
= D2c
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9.
=
421,
Students were surveyed about clubs and sports. Of the 200 students who responded, 33
participate in both, 100 participate in clubs and 88 participate in sports. How many do not
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participate in either?
—‘-—
10. A standard die is rolled 24 times and turns up a “3” six times.
a) What is the experimental probability of rolling a “3” on a given trial?
2-
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4
b) What is the theoretical probability of rolling a “3”?
c) Explain why these answers are different.
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d) If you rolled the die 3000 times, how many times would you expect to roll a “3”?
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11. A kid bets you that if you spin the spinner you won’t land on an even number both times.
Determine the probability that:
a) You get an even number twice.
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b) You get an odd number twice.
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2
,
c) You get one of each.
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12. You draw a card from a standard deck. Determine the probability of the card being an Ace or a
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heart.
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?(N?
n
4
‘3
13. You randomly choose a marble from a jar. The jar contains 11 red marbles, 10 blue marbles, and 4
[6]
yellow marbles.
a) Find the probability of choosing a blue or yellow marble.
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b) If you draw a blue marble first, replace it, and then choose again, what is the probability that
you get a red on on the next draw?
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c) If you don’t replace it, does the probability change? Explain.
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Sum of 2 Dice Chart
123
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