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]
2 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]2 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
Find the volume of the solid :)
Bingel [31]

answer key

78.4

Step-by-step explanation:

Multiply 7 x 4 =28

Then Multiply  28 x 2.8 = 78.4

<em>That's how you get your answer ∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞  hope that helps out</em>

7 0
2 years ago
Which expression can be used to represent the volume of the trapezoidal prism
Vadim26 [7]

Answer:

Formula for finding the volume of  a trapezoidal prism =\frac{1}{2}(b_1+b_2)h

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Complete the following ratio table so that each pair represents the same rate.
Sergio [31]
51 so I hope that help you in the long turm
8 0
2 years ago
Read 2 more answers
A forest is home to 5,683 trees. Each tree has two bird nests. How many bird nests are in the forest?
leva [86]
Just multiply 5683 x 2
6 0
3 years ago
Read 2 more answers
Hank has read 25 percent of his book. If Hank has read 150 pages, which equation can be used to find the total number of pages i
adelina 88 [10]
600 pages left. 150 * 4 = 600
3 0
3 years ago
Read 2 more answers
Other questions:
  • A family has two cars. The first car has a fuel efficiency of 15 miles per gallon of gas and the second has a fuel efficiency of
    7·2 answers
  • HELP
    12·2 answers
  • The function y=16x squared + 36 represents the height y (in feet) of an apple x seconds after falling from a tree. Find and inte
    11·2 answers
  • Several polynomial functions are graphed. Which graph displays a polynomial function with all even exponents?
    15·2 answers
  • Find the surface area of the figure.<br> PLEASE HELP!
    7·1 answer
  • Can someone explain me how to solve this?
    6·2 answers
  • I need help i'm really stuck
    13·2 answers
  • Can someone help me? Right answer gets brainliest!!
    6·2 answers
  • If ?/100 = 0.2 then ? =
    9·2 answers
  • Check the pic<br> With steps please<br> If u send a link I will report
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!