1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
g100num [7]
3 years ago
12

If you roll two six-faced dice together, you will get 36 possible outcomes. 4 pts 1. List all possible outcomes of the experimen

t. 2 pts 2. What is the probability of getting a sum of 11 in these outcomes? 2 pts 3. What is the probability of getting a sum less than or equal to 4? 2 pts 4. What is the probability of getting a sum of 13 or more?
Mathematics
1 answer:
bezimeni [28]3 years ago
8 0

Given:

Two dice are rolled together.

Total number of possible outcomes.

To find:

The list of total possible outcomes.

The probability of getting a sum of 11 in these outcomes.

The probability of getting a sum less than or equal to 4.

The probability of getting a sum of 13 or more.

Solution:

If two dice are rolled together, then the total number of possible outcomes is 36 and list of total possible outcomes is

S = {(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}

Sum of 11 in these outcomes = {(5,6),(6,5),(6,6)} = 3

The probability of getting a sum of 11 in these outcomes is

P(\text{sum=11})=\dfrac{3}{36}

P(\text{sum=11})=\dfrac{1}{12}

Therefore, the probability of getting a sum of 11 in these outcomes is \dfrac{1}{12}.

Sum less than or equal to 4 = {(1,1),(1,2),(1,3),(2,1),(2,2),(3,1)} = 6

The probability of getting a sum less than or equal to 4 is

P({sum\leq 4})=\dfrac{6}{36}

P({sum\leq 4})=\dfrac{1}{6}

Therefore, the probability of getting a sum less than or equal to 4 is \dfrac{1}{6}.

Sum of 13 or more = empty set because maximum sum is 12.

The probability of getting a sum of 13 or more is

P(sum\geq 13)=\dfrac{0}{36}

P({sum\geq 13})=0

Therefore, the probability of getting a sum of 13 or more is 0.

You might be interested in
If slope is 3 and y-intercept is 2 , what is it in a linear equation
Pepsi [2]
It would be y=3x+2 because in y=mx+b, m is the slope and b is the y-intercept
8 0
3 years ago
Can someone help w number 4
strojnjashka [21]

Answer:

angle DFG = 49 degrees

angle JKL = 41 degrees

Step-by-step explanation:

When angles are complementary with each other, it means that if you add both of the angles up, it adds up to 90 degrees.

In this question, you would have to add up angle DFG and angle JKL and find the x that makes the equation equal to 90 degrees.

angle DFG = x + 5

angle JKL = x - 3

(x + 5) + (x - 3) = 90

2x + 2 = 90

2x = 90 - 2

2x = 88

x = 44

But since we have to find out the angle measures, we have to the "x = 44" with the x's in the DFG and JKL angles.

DFG = (44) + 5 = 49

JKL = (44) - 3 = 41

7 0
3 years ago
The equation of the line in standard form is...
Rudik [331]

Answer:

5x+9y=-16

Step-by-step explanation:

here is my work although I am not 100 percent sure I am right because,I am learning the same thing as you

-6+1 over 4+5

y+1=-5/9(x+5)

y+1=-5/9x-25/9

y=-5/9x-16/9

5/9+y=-16/9

5x+9y=-16

8 0
3 years ago
Read 2 more answers
Another question for math. ill give mad points, the question is in attachment
yulyashka [42]
For this case we have the following points:
 y = (- 2, 5)
 z = (1, 3)
 Therefore, the vector yz is given by:
 yz = z - y = (1, 3) - (-2, 5)
 yz = ((1 - (- 2)), (3-5))
 yz = ((1 + 2), -2)
 yz = (3, -2)
 Then, the magnitude is given by:
 lyzl = root ((3) ^ 2 + (-2) ^ 2)
 lyzl = root (9 + 4)
 lyzl = root (13)
 Answer:
 
yz = (3, -2)
 lyzl = root (13)
 option A
5 0
3 years ago
I NEED HELP WITH THIS HELP PLS!!!!
motikmotik

Answer:

120

Step-by-step explanation:

Volume =lxbxh

=5 x 6 x 4

=120

4 0
2 years ago
Other questions:
  • Where is the n?
    6·2 answers
  • Can you please find the number that replaces the ? please? This is the sequence: 1 5 6 11 ? 28 I would be so thankful if you cou
    6·1 answer
  • A mixture of dimes and quarters has a total value of $10.20. There are 57 coins in all. How many type of each coin is present?​
    14·1 answer
  • Use the diagram. AB is a diameter and AB perpendicular to CD. The figure is not drawn to scale. Which statement is NOT true?
    8·2 answers
  • What is the 10th term of the geometric sequence 400, 200, 100...?
    5·1 answer
  • Write the word sentence as an equation. Then solve. Number 5.) 6.) 7.) and 8.)
    7·1 answer
  • Please help me solve for the missing angle, θ.
    12·1 answer
  • Solve for elimination x-4y= -9 and -x+3y=7
    14·1 answer
  • Someone just help me with the question before this its just one ! and you get brainliestttt
    14·1 answer
  • A 98% confidence interval for a proportion is found to be (0.62, 0.68).
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!