Question

Kathleen conducted an experiment in which she drew marbles from a bag one at a time and replaced the marble after each draw. The results of her experiment are shown in the table.

Marble Experiment
Marble Color Number of Times
Drawn
Red 8
Blue 2
Green 6
Purple 2
Yellow 12

According to the results from Kathleen's experiment, what is the probability that she would draw a red marble and then draw another red marble, if the first marble is replaced before drawing the second marble?

Answer 1

1. Which of the following situations describes two independent events?


A. drawing one card from a deck, then drawing a second without replacement

B. pulling three pieces of candy from a bag, one at a time

C. choosing seven numbers from 0-9, which cannot be repeated

D. tossing a coin and rolling a die

2. Jillian numbered 10 counters from 1 through 10 and placed them in a cloth bag. She then performed an experiment where she drew one counter, recorded its number, and then replaced it. Jillian did this 25 times. The results of Jillian's experiment are shown in the table.

Jillian's Experiment
Counter
Number Number of
Times Drawn
1 3
2 4
3 3
4 3
5 2
6 3
7 0
8 3
9 2
10 2

What is the experimental probability of drawing a number 5 counter followed by another number 5 counter, if the first counter is replaced?


A.


B.


C.


D.


3. Jillian numbered 10 counters from 1 through 10 and placed them in a cloth bag. She then performed an experiment where she drew one counter, recorded its number, and then replaced it. Jillian did this 25 times. The results of Jillian's experiment are shown in the table.

Jillian's Experiment
Counter
Number Number of
Times Drawn
1 2
2 4
3 4
4 3
5 2
6 3
7 1
8 2
9 2
10 2

What is the experimental probability of drawing a number 10 counter followed by another number 10 counter, if the first counter is replaced?


A.


B.


C.


D.


4. Erica was out of town for a month, so she had her friend Sara check her mailbox. Each day, Sara would count how many different types of mail Erica received and then place the mail in a box inside Erica's apartment. The table below shows how many pieces of each type of mail Erica received during the month.

Erica's Mail Received in a Month
Type of Mail Number of
Pieces
Bills 15
Cards 6
Junk Mail 24
Magazines 8
Advertisements 42
Wrong Address 5

According to the table, if Erica drew two pieces of mail randomly from the box, without replacement, what is the probability she would draw out two pieces of junk mail?


A.


B.


C.


D.


5. Erica was out of town for a month, so she had her friend Sara check her mailbox. Each day, Sara would count how many different types of mail Erica received and then place the mail in a box inside Erica's apartment. The table below shows how many pieces of each type of mail Erica received during the month.

Erica's Mail Received in a Month
Type of Mail Number of
Pieces
Bills 20
Cards 8
Junk Mail 12
Magazines 4
Advertisements 52
Wrong Address 4

According to the table, if Erica drew two pieces of mail randomly from the box, without replacement, what is the probability she would draw out two cards?


A.


B.


C.


D.