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
Feliz [49]
3 years ago
13

Find the probability of rolling an odd sum or a sum less than 7 when a pair of dice is rolled

Mathematics
1 answer:
Nutka1998 [239]3 years ago
7 0

Answer:

For the pairs that satisfy that the sum is less than 7 we have:

(1,1) (2,1) (1,2) (3,1) (2,2) (1,3) (4,1) (3,2) (2,3) (1,4) (5,1) (4.2) (3,3) (2,4) (1,5)

So we have a total of 15 pairs where the sum is less than 7

And for an odd sum we have the following pairs

(2,1) (1,2) (4,1) (3,2) (2,3) (1,4) (6,2) (5,2) (4,3) (3,4) (2,5) (1,6) (6,3) (5,4) (4,5) (3,6) (6,5) (5,6)

A total of 18 pairs and we have 6 pairs who are in both cases for the sum less than 7 and the sum an odd number that represent the intersection and using the total probability rule we got:

P = \frac{15+18-6}{36}= \frac{27}{33}= 0.818

Step-by-step explanation:

For this case when a pair of dice is rolled we have the following sample pace for the outcomes:

(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)

We see 36 possible outcomes and we want to find how many of these pairs we got rolling an odd sum or a sum less than 7

For the pairs that satisfy that the sum is less than 7 we have:

(1,1) (2,1) (1,2) (3,1) (2,2) (1,3) (4,1) (3,2) (2,3) (1,4) (5,1) (4.2) (3,3) (2,4) (1,5)

So we have a total of 15 pairs where the sum is less than 7

And for an odd sum we have the following pairs

(2,1) (1,2) (4,1) (3,2) (2,3) (1,4) (6,2) (5,2) (4,3) (3,4) (2,5) (1,6) (6,3) (5,4) (4,5) (3,6) (6,5) (5,6)

A total of 18 pairs and we have 6 pairs who are in both cases for the sum less than 7 and the sum an odd number that represent the intersection and using the total probability rule we got:

P = \frac{15+18-6}{36}= \frac{27}{33}= 0.818

You might be interested in
Help asap!!! it’s due in 20 minutes .
Grace [21]

Answer:

ab

Step-by-step explanation:

7 0
3 years ago
What is m<4? I tryed to do the work but I just can't get it can someone help me plz
Mars2501 [29]
M<6 is 60
Since AC and BD are parallel, <6 and <4 are supplementary.
supplementary means = 180 degrees
Since m<6 is 60 degrees, subtract 60 from 180 to get <4
180 - 60 = 120

M<4 is 120

hope this helps
7 0
3 years ago
Read 2 more answers
To make 5 apple pies you need about 2 pounds
Margarita [4]

Answer:

8 pounds of apples.

Step-by-step explanation:

5 pies need 2 pounds of apples.

so 1 pie needs  2/5 pounds

- and 20 pies needs  20 * 2/5

= 40/5

= 8 pounds of apples.

8 0
3 years ago
Read 2 more answers
Find the value of x by filling in the blanks in the provided statement-reason solution. N = MP PLEASE HELP QUICKLYYY
seraphim [82]

Picture relating to the question can be found in the picture attached below.

Answer:

Angle DCA = Angle CAB

Angle A + Angle B + Angle C = 180°

18 + 3x + 3x = 180

27°

Step-by-step explanation:

For 1:

Angle DCA = Angle CAB (Alternate angles are equal)

Angle DCA = 18°, Hence, CAB = 18°

2)

Angle A + Angle B + Angle C = 180° (sum of interior angles in a triangle)

3.)

Angle A = 18°

Angle B = 3x

Angle C = 3x

18° + 3x + 3x = 180°

4.)

18 + 3x + 3x = 180

18 + 6x = 180

6x = 180 - 18

6x = 162

x = 162 / 6

x = 27°

6 0
3 years ago
3^-2 as a fraction need help
RSB [31]

Answer:

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • Hugo and Viviana work in an office with eight other coworkers. Out of these 10 workers, their boss needs to choose a group of fo
    11·1 answer
  • How do you find the y=mx+b equation with a problem like 3x+5y=9?
    8·2 answers
  • it cost $20 per hour to bowl and $3 for shoe rental. write a verbal model and algebraic expressions to represent the cost for n
    10·1 answer
  • What is 9c-c equal when u combined like terms
    12·1 answer
  • Constant of proportionality in 3/5y=8x​
    7·1 answer
  • Please help Evaluate.
    5·1 answer
  • For which independent value do the equations generate the same dependent value? y1 = 6x + 10 Y2 = 4x+4
    11·1 answer
  • What is the slope of a line that is perpendicular to the line shown? (3,3) and (-3,-1)
    12·2 answers
  • ASAP! 20 Points!
    6·2 answers
  • The diagram represents an 11 cm by 6 cm rectangle.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!