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
nikklg [1K]
3 years ago
6

in a standard casino dice game the roller wins on the first roll if he rolls a sum of 7 or 11. what is the probability of winnin

g on the first roll?
Mathematics
1 answer:
Alborosie3 years ago
8 0

<u>Answer-</u>

<em>The probability of winning on the first roll is </em><em>0.22</em>

<u>Solution-</u>

As in the game of casino, two dice are rolled simultaneously.

So the sample space would be,

|S|=6^2=36

Let E be the event such that the sum of two numbers are 7, so

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

|E|=56

\therefore P(E)=\dfrac{|E|}{|S|}=\dfrac{6}{36}

Let F be the event such that the sum of two numbers are 11, so

F = {(6,5), (5,6)}

|F|=2

\therefore P(F)=\dfrac{|F|}{|S|}=\dfrac{2}{36}

Now,

P(\text{sum is 7 or 11)}=P(E\ \cup\ F)=P(E)+P(F)=\dfrac{6}{36}+\dfrac{2}{36}=\dfrac{8}{36}=\dfrac{2}{9}=0.22

You might be interested in
Help plz help plz fast​
Alex

Answer:

fast doesn't need help you do

Step-by-step explanation:

5 0
3 years ago
Find the length of the third side. If necessary, round to the nearest tenth.<br> 17<br> 15
xenn [34]

Answer:

8

Step-by-step explanation:

Use the pythagorean theorem.

8 0
3 years ago
I really need help finding the solution!!
Mrac [35]

Answer:

-0.5 is not a solution

2 is a solution

Step-by-step explanation:

To check if something is a solution of the equation, you need to substitute the value in place of the variable

15 + 2y = -12 - 4y

15 + 2(-0.5) = -12 - 4(-0.5)

15 - 1 = -12 + 2

14 ≠ -10 ∴ -0.5 is not a solution

5 - 2(3x + 5) = 3 - 10x

5 - 2[3(2) + 5] = 3 - 10(2)

5 - 2(6 + 5) = 3 - 10(2)

5 - 12 - 10 = 3 - 120

-17 = -17 ∴ 2 is a solution

3 0
2 years ago
14. (10pts) Consider the outward flux || Fonds where F = [01: 1, 2 ] and the surface S is the portion of the
grin007 [14]

Answer:

3y+3b

Step-by-step explanation:

6 0
2 years ago
Evaluate the expression using the given value 3n+7,n=12
balandron [24]
3x12=36
36+7= 43

The answer is 43
6 0
1 year ago
Other questions:
  • A plot of land is a pentagon with vertices Q(-4, 4), R(2, 4), S(4, 1), T(2, -4), and U(-4, -4).
    6·1 answer
  • Simplify the expression: 7 + -7x + -8 - 9x + 5
    14·2 answers
  • What value is equivalent to 8 · 9 − 2 · 5? A) 62 B) 82 C) 280 D) 350
    8·2 answers
  • a realay team of 4 people runs 3 miles if each person runs the same distance ,how man miles does each person run?
    5·1 answer
  • Which statement is correct about the product of ​323​ and ​109​?
    13·1 answer
  • I NEED HELP ASAP!What is the area of the triangle shown below? 10 10 12​
    9·2 answers
  • Helppp pls<br> will give brainliest
    5·2 answers
  • On November 1, Jovel Company loaned another company $100,000 at a 6% interest rate. The note receivable plus interest will not b
    13·1 answer
  • 2) Solve the equation 9x = 7(x + 2).<br> A) - 7<br> B) -1<br> 0 1<br> D) 7
    12·2 answers
  • What is the domain of the function shown in the graph?​
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!