Question

1.A bag has 4 green blocks, 3 red blocks, 2 blue blocks, and 1 yellow block. Find the probability of randomly selecting a block that is not red.

3/10
7/10
2/5
3/5
. A supermarket finds that 3 cartons in every 40 cartons contain cracked eggs. If the supermarket receives a shipment of 200 cartons, how many cartons can they expect will contain cracked eggs? *
3
5
15
40
Your friend surveys some boys and girls from each grade level about which candidate they will vote for in the election. Of the students surveyed, 40 out of 110 plan to vote for you for president. Based on those results, how many votes can you expect to get if there are 660 students in the school? *
40
80
110
240
You flip a coin and roll a number cube. Find the probability of flipping heads and rolling an even number. *
1/12
1/8
1/4
1/2
If you roll a number cube two times, what is the probability that the number cube shows a number more than 2 both times? *
2/3
4/9
1/2
1/4
A new restaurant offers a choice of 5 main dishes and 4 desserts. You randomly choose a main dish and a dessert. What is the probability of choosing both the main dish and the dessert that are the chef's favorites? *
1/3
1/4
1/12
1/20
You select a colored marble from a bag. Without replacing it, your friend then selects one marble after you. Are the two events independent? *
Yes, independent
No, not independent
A supermarket finds that 3 cartons in every 40 cartons contain cracked eggs. If the supermarket receives a shipment of 200 cartons, how many cartons can they expect will contain cracked eggs? *
3
5
15
40
Your friend surveys some boys and girls from each grade level about which candidate they will vote for in the election. Of the students surveyed, 40 out of 110 plan to vote for you for president. Based on those results, how many votes can you expect to get if there are 660 students in the school? *
40
80
110
240
You flip a coin and roll a number cube. Find the probability of flipping heads and rolling an even number. *
1/12
1/8
1/4
1/2
If you roll a number cube two times, what is the probability that the number cube shows a number more than 2 both times? *
2/3
4/9
1/2
1/4
A new restaurant offers a choice of 5 main dishes and 4 desserts. You randomly choose a main dish and a dessert. What is the probability of choosing both the main dish and the dessert that are the chef's favorites? *
1/3
1/4
1/12
1/20
You select a colored marble from a bag. Without replacing it, your friend then selects one marble after you. Are the two events independent? *
Yes, independent
No, not independent

Answer 1

Answer: 1) 7/10 2) 15 3) 240 4) 1/4 5) 4/9 6) 1/20 7) No, not independent

Explanation:

1. 4 green+3red+2blue+1yellow = 10 total

if 3/10 are red, then 7/10 are not red. So the second option, 7/10

2. 3 cartons in every 40

40*5 = 200

so do 3*5 = 15

so 15 or the third option

3. 40 out of 110

110*6 = 660

so do 40*6 = 240

so 240 or the fourth option

4.

Flipping heads: 1/2

rolling even: well, there is 2, 4, and 6, or 3 even numbers so 3/6 or 1/2

do 1/2*1/2 = 1/4

so 1/4 or the third option

5. Numbers more than 2: 3, 4, 5, 6 (4 numbers)

4/6 or 2/3 chance the first time, 2/3 chance the second time

do 2/3*2/3 = 4/9

so 4/9 or the second option

6. 5 dishes and 4 desserts

1/5 chance of picking the dish

1/4 chance of picking the dessert

do 1/5*1/4 = 1/20

so 1/20 or the fourth option

7. Since you don’t replace the marble after picking it, it affects the outcome of the second draw. Therefore the events are dependent, or not independent. So the second option.