Question

Match the situations to the simulations that model them using the numbers 0 through 9. Tiles Estimate the probability of drawing 1 yellow marble from a box that contains 20 red marbles, 30 blue marbles, 10 green marbles, and 40 yellow marbles. Use the number 0 to represent the yellow marbles and 1 through 9 to represent the other marbles. Estimate the probability of drawing 1 yellow marble from a box that contains 60 red marbles, 120 blue marbles, 30 green marbles, and 90 yellow marbles. Use the numbers 0 through 2 to represent the yellow marbles and 3 through 9 to represent the other marbles. Estimate the probability of drawing 1 yellow marble from a box that contains 30 red marbles, 40 blue marbles, 10 green marbles, and 20 yellow marbles. Use the numbers 0 through 4 to represent the yellow marbles and 5 through 9 to represent the other marbles. Estimate the probability of drawing 1 yellow marble from a box that contains 30 red marbles, 40 blue marbles, 20 green marbles, and 10 yellow marbles. Use the numbers 0 through 3 to represent the yellow marbles and 4 through 9 to represent the other marbles. Estimate the probability of drawing 1 yellow marble from a box that contains 16 red marbles, 32 blue marbles, 32 green marbles, and 80 yellow marbles. Estimate the probability of drawing 1 yellow marble from a box that contains 90 red marbles, 120 blue marbles, 30 green marbles, and 60 yellow marbles.

Answer 1

These are 6 quesitons and 6 answers.

Question 1) Estimate the probability of drawing 1 yellow marble from a box that contains 20 red marbles, 30 blue marbles, 10 green marbles, and 40 yellow marbles.


Answer: 2/5 = 0.4


Explanation:


1) Probability = number of positive events / number of possible events


2) Positivie events: extracting 1 yellow marble


3) Number of positive events = number of yellow marbles = 40


4) Number of possible events = number of total marbles = 20 + 30 + 10 + 40 = 100


5) probability = 40 / 100 = 2/5 = 0.4


Question 2.  Estimate the probability of drawing 1 yellow marble from a box that contains 60 red marbles, 120 blue marbles, 30 green marbles, and 90 yellow marbles.


Answer: 3/10 = 0.3

Explanation:


1) Probability = number of positive events / number of possible events

2) number of positive events = number of yellow marbles = 90

3) number of possible events = number of marbles = 60 + 120 + 30 + 90 = 300

4) probability = 90 / 300 = 3/10 = 0.3


Question 3. Estimate the probability of drawing 1 yellow marble from a box that contains 30 red marbles, 40 blue marbles, 10 green marbles, and 20 yellow marbles. 

Answer: 2/9 = 0.22


Explanation:

1) Probability = number of positive events / number of possible events


2) number of positive events = number of yellow marbles = 20

3) number of possible events = number of marbles = 90

4) probability = 20 / 90 = 2/9 = 0.22


Question 4. Estimate the probability of drawing 1 yellow marble from a box that contains 30 red marbles, 40 blue marbles, 20 green marbles, and 10 yellow marbles. 

Answer: 1/10 = 0.1


Explanation:

1) Probability = number of positive events / number of possible events

2) number of positive events = number of yellow marbles = 10

3) number of possible events = number of marbles = 30 + 40 + 20 + 10 = 100

4) probability = 10 / 100 = 1/10 = 0.1


Question 5.  Estimate the probability of drawing 1 yellow marble from a box that contains 16 red marbles, 32 blue marbles, 32 green marbles, and 80 yellow marbles. 

Answer: 1/2 = 0.5


Explanation:

1) Probability = number of positive events / number of possible events


2) number of positive events = number of yellow marbles = 80

3) number of possible events = number of marbles = 16 + 32 + 32 + 80 = 160

4) probability = 80 / 160 = 1/2 = 0.5


Question 6. Estimate the probability of drawing 1 yellow marble from a box that contains 90 red marbles, 120 blue marbles, 30 green marbles, and 60 yellow marbles.

Answer: 1/5 = 0.2


Explanation:


1) Probability = number of positive events / number of possible events

2) number of positive events = number of yellow marbles = 60

3) number of possible events = number of marbles = 90 + 120 + 30 + 60 = 300


4) probability = 60 / 300 = 1/5 = 0.2

Answer 2

Answer:

1.) 60 red marbles, 120 blue marbles, 30 green marbles, and 90 yellow marbles = use 0-2 to represent yellow marbles and 3-9 to represent other marbles

2.) 16 red marbles, 32 blue marbles, 32 green marbles, and 80 yellow marbles = use 0-4 to represent yellow marbles and 5-9 to represent other marbles

3.) 20 red marbles, 30 blue marbles, 10 green marbles, and 40 yellow marbles = use 0-3 to represent yellow marbles and 4-9 to represent other marbles

4.) 30 red marbles, 40 blue marbles, 20 green marbles, and 10 yellow marbles = use 0 to represent yellow marbles and 1-9 to represent other marbles