Name _________________________________________________________ Date _________
9.4
Practice A
Tell whether the events are independent or dependent. Explain.
1. You randomly draw a marble from a bag containing 3 red marbles and
8 yellow marbles. You put the marble back in the bag and then draw a
second marble.
First Draw: Red
Second Draw: Yellow
2. You are playing BINGO and you need B5. There are 26 BINGO numbers
left to be called.
First Call: N42
Second Call: O75
Third Call: B2
3. You flip a coin two times.
First Flip: Tails
Second Flip: Heads
You spin the spinner, flip a coin, then spin the spinner again. Find the
probability of the events.
4. Spinning a 6, flipping tails, then spinning a 1
5. Spinning a 5, flipping heads, then spinning
an even number
6. Spinning an 8, flipping heads, then spinning
a number greater than 3
7. A basket contains 4 red apples and 7 green apples. You randomly
choose two apples.
a. What is the probability that both apples are red?
b. What is the probability that both apples are green?
c. Are you more likely to choose two red apples or two green apples?
Explain.
d. What is the probability that you choose a red apple first and a green
apple second?
e. What is the probability that you choose a green apple first and a red
apple second?
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Name_________________________________________________________
9.4
Date __________
Practice B
Tell whether the events are independent or dependent. Explain.
1. You randomly draw a marble from a bag containing 10 purple marbles and
14 green marbles. You keep the marble and then draw a second marble.
First Draw: Purple
Second Draw: Green
2. You spin a spinner three times.
First Spin: 5
Second Spin: 2
Third Spin: 2
3. You randomly draw a marble from a bag containing 8 pink marbles, 3 blue
marbles, and 7 red marbles. You put the first marble back, draw and put a
second marble back, and then draw a third marble.
First Draw: Blue
Second Draw: Pink
Third Draw: Red
You randomly choose one of the coins. Without replacing the first coin,
you choose a second coin. Find the probability of choosing the first coin,
then the second coin.
4. Quarter and dime
5. Nickel and nickel
6. Penny and not a quarter
7. Dime and not a penny
8. A drawer contains 15 spoons, 12 forks, and 14 knives. You randomly
choose two utensils. What is the probability that both utensils are spoons?
9. A basket contains 5 red apples and 2 green apples. You randomly choose
two apples. Is the probability of choosing one green apple and one red
apple greater if you pick the green apple first or if you pick the red apple
first?
10. The letters M, N, and O are in a hat. You randomly choose a letter and
keep it. Then you randomly choose and keep a second letter. What is the
probability that the order of the letters chosen spells the word ‘no’?
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Name_________________________________________________________
Date __________
9.4 Puzzle Time
What Do You Get When You Cross an Elephant
With a Cake?
Write the letter of each answer in the box containing the exercise number.
Tell whether the events are independent or dependent.
1. You flip a coin twice and get tails both times.
S. Independent
T. Dependent
2. You randomly take a one-dollar bill from your wallet, do not replace it,
and then randomly take a five-dollar bill from your wallet.
T. Independent
U. Dependent
3. You roll a number cube and get a 3. You roll it again and get a 2.
R. Independent
S. Dependent
4. You randomly choose a queen from a deck of cards. Then, without
returning the queen, you choose a king from the deck of cards.
L. Independent
M. Dependent
You randomly draw a button from a jar containing 5 blue buttons,
6 red buttons, and 4 green buttons. You keep the button and then
draw a second button. Find the probability of the events.
5. Drawing a red button and a green button
A.
8
75
B.
3
35
C.
4
35
C.
1
9
6. Drawing a blue button and a blue button
A.
4
45
5
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B.
2
21
3
2
4
6
1
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