HELP<br> Pre-algebra<br> Not understanding :/

Lizzie rolls two dice. What is the probability that the sum of the dice is:

zhenek [66]

Answer:

$A.\ \dfrac{1}{3}\\B.\ \dfrac{5}{12}\\C.\ \dfrac{7}{36}\\$

Step-by-step explanation:

Total outcomes possible: 36

A. Divisible by 3

Possible options are:

3, 6, 9 and 12.

Possible outcomes for 3 are: {(1,2), (2,1)} Count 2

Possible outcomes for 6 are: {(1,5), (2,4), (3,3), (5,1),(4,2)} Count 5

Possible outcomes for 9 are: {(3,6), (4,5), (5,4),(6,3)} Count 4

Possible outcomes for 12 are: {(6,6)} Count 1

Total count = 2 + 5 + 4 + 1 = 12

Probability of an event E can be formulated as:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

$P(A) = \dfrac{12}{36} = \dfrac{1}{3}$

B. Less than 7:

Possible sum can be 2, 3, 4, 5, 6

Possible cases for sum 2: {(1,1)} Count 1

Possible cases for sum 3: {(1,2), (2,1)} Count 2

Possible cases for sum 4: {(1,3), (3,1), (2,2)} Count 3

Possible cases for sum 5: {(1,4), (2,3), (3,2),(4,1)} Count 4

Possible cases for sum 6: {(1,5), (2,4), (3,3), (5,1),(4,2)} Count 5

Total count = 1 + 2 + 3 + 4 + 5 = 15

$P(B) = \dfrac{15}{36} = \dfrac{5}{12}$

C. Divisible by 3 and less than 7:

$P(A \cap B) = \dfrac{n(A\cap B)}{\text{Total Possible outcomes}}$

Here, common cases are:

Possible outcomes for 3 are: {(1,2), (2,1)} Count 2

Possible outcomes for 6 are: {(1,5), (2,4), (3,3), (5,1),(4,2)} Count 5

$P(A \cap B) = \dfrac{7}{\text{36}}$

5 0

2 years ago

PLZ ANSWER QUICK HURRY PLZZZ WILL MARK BRANIEST

yuradex [85]

Answer:

1=z-9

2=9+z

3=9/z

4=9z

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Click on the graphic to select the figure that would make the following a reflection in line k

Roman55 [17]

I remember answering the same question, but you didn't attach any photos. But I remember that the answer is the first one.

I hope I helped. Stay safe and God bless!

- Eli <3

6 0

3 years ago

The stem-and-leaf plot shows the temperatures of patients who registered at a clinic one day. How many patients registered at th

saveliy_v [14]

As the key suggests, the left part is the integer part of the number, while the digit on the right is the decimal part of the number.

So, for example, the first row describes the two values 97.2 and 97.8, while the second row describes the values 98.1, 98.3 (repeated twice), 98.5, 98.6 and 98.7 (repeater three times).

So, the number of values is given by the number of leaves: you simply have to count how many digits are there on the right part of the screen.

The answer is thus 24

5 0

3 years ago

Pleasee help me I just wanna go to sleep already :c

Lunna [17]

Answer: 17 is A and 18 is B

Used a calculator to add them all up! Get some sleep hope this helps.

17) 2(3x8)+2(3x6)+2(6x8) = 180

18) 4(9x2)+2(9x9) = 234

8 0

2 years ago

HELP Pre-algebra Not understanding :/