G When a pair of dice is rolled there are 36 different possible outcomes: 1-1, 1-2, ... 6-6. If a pair ofdice is rolled 3 times, what is the probability of getting a sum of 4 every time

The probability of getting a sum of 4 every time is 1/12

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Total number of outcomes possible when a pair of dice is rolled = 36

2. If a pair of dice is rolled 3 times, what is the probability of getting a sum of 4 every time.

Let's build the number of times for each outcome, this way:

Value of X  Number of outcomes

2                      1 (1,1)

3                      2 (1,2), (2,1)

4                      3 (1,3), (2,2), (3,1)

5                      4 (1,4), (2,3), (3,2), (4,1)

6                      5 (1,5), (2,4), (3,3), (4,2), (5,1)

7                      6 (1,6), (2,4), (3,4), (4,3), (5,2), (6,1)

8                      5 (2,6), (3,5), (4,4), (5,3), (6,2)

9                      4 (3,6), (4,5), (5,4), (6,3)

10                     3 (4,6), (5,5), (4,6)

11                      2 (5,6), (6,5)

12                     1 (6,6)

Let's recall the formula of probability:

Probability = Number of favorable outcomes/Total number of possible outcomes

Replacing with the information we know:

Probability =3/36 = 1/12

The probability of getting a sum of 4 every time is 1/12

according to this law, when unemployment goes up by 1%, gdp drops by 2%. in the question, unemployment rate goes from 2% to 5%, meaning unemployment goes up by 3%, so the gdp drops by 6%. thus the effect is a drop in gdp by 6%.

step-by-step explanation:

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.