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
swat32
3 years ago
13

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

Mathematics
1 answer:
zhenek [66]3 years ago
5 0

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}}

You might be interested in
Y= 4x+3<br> Y=-3x-2<br> Substitution or elimination
Svet_ta [14]
Elimination would be the best way to answer this question because you can multiply the top by 3 and the bottom by -4
3 0
3 years ago
Can anybody help me or already know the answer to this ? :)
oksian1 [2.3K]
The bottom one is the answer I’m pretty sure ….hope it helps

4 0
3 years ago
Greg spent 3/4 of an hour each day for 2 days working on his project.Giselle spent 1/4 of an hour each day for 6 days working on
DerKrebs [107]

Answer:

C)They spent the same amount of time.

Step-by-step explanation:

Greg did 3/4 of an hour is 45mins for 2 days is x2 so Greg in total did 1 and 1/2 hours

Giselle did 1/4 of an hour which is 15mins for 6 days so x6 so Giselle did 1 and 1/2 hours too.

C)They spent the same amount of time on the project

8 0
2 years ago
Read 2 more answers
What number fills in the blank to complete the factorization of 3x + 24?<br><br><br> (x + 8)
alex41 [277]
3x + 24 = (3)(x) + (3)(8)
You can see that there is multiplier 3 near x and 8. You can factor it and make
3x + 24 = 3(x + 8)
So, the answer is 3. Hope this helps!
3 0
3 years ago
Read 2 more answers
9e-7=7e-11<br><br> Whats does E equal?
SSSSS [86.1K]

Answer:

-2

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • What do you say when you meet a two headed dragon
    7·2 answers
  • I have sent a picture can one of ya guys help me answer this
    7·2 answers
  • A dependent system of equations is a system with ________________
    11·1 answer
  • If f(x)=3x+2 and g(x) =x^2 +1 which expression is equivalent to (f•g)(x)
    6·1 answer
  • Five more than the product of x and 6is the same as 12
    10·1 answer
  • The sum of the reciprocal of a number and 3/5 is 7/10 find the number
    11·1 answer
  • Is 4/6 greater or less than 7/8
    13·1 answer
  • The area of this rectangle is 8cm2<br> (3x + 1) cm<br> (2x + 5) cm<br> Work out the value of x
    5·1 answer
  • The product of two consecutive positive integers is 26 more than ten times the largest of the two numbers.
    9·1 answer
  • Diamond and Rebecca need to fill up a small swimming pool for their younger siblings. They each will empty a tank of water into
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!