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
In 1993, the sports league introduced a salary cap that limits the amount of money spent on players' salaries. The quadratic mod
jeyben [28]

Answer:

1999

Step-by-step explanation:

y  = 0.2313(y - 1992)^2 + 2.600(y - 1992) + 35.17

verify with known data point

y  = 0.2313(2004 - 1992)^2 + 2.600(2004 - 1992) + 35.17

y  = 0.2313(12)^2 + 2.600(12) + 35.17

y  = 27.9873 + 28.6 + 35.17

y = 99.6772  which verifies our equation

65 = 0.2313x² + 2.6x + 35.17

 0 = 0.2313x² + 2.6x - 29.83

quadratic formula

x = (-2.6 ±√(2.6² - 4(0.2313)(-29.83))) / (2(0.2313))

x = (-2.6 + 5.86) / 0.4626 = 7.05 years

7.05 = y - 1992

y = 1999.05

8 0
2 years ago
Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = 9x2 – 36X?
Fiesta28 [93]
Assuming I understand your question correctly, in that you’re looking for just some descriptions of the differences between the functions. If so, then I’d say:

First graph both functions, the f(x) and the g(x). Then spot the differences.
Note that the g(x) function has shifted towards the right compared with the f(x) function.
Another way that the g(x) differs from the f(x) function is that it’s stretched. The vertex is in the IV quadrant for g(x) rather than at the origin for f(x).

I hope that helps.

5 0
3 years ago
Read 2 more answers
Jennifer spray paint 5 picture frames in 12 minutes. About how long will it take her to paint 98 picture frames
jenyasd209 [6]

Answer:

235.2

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Michelle is building shelves for her room. She has a plank 137 inches long that she wants to cut into 7 shelves of equal length.
bixtya [17]
Because she cut off a total of 4 inches, the plank is now 133 inches long. Divide 133 by 7 to get her 7 equal parts, and <u>each shelf will be 19 inches.</u>
4 0
3 years ago
Mercury:3.3022×10^23 earth:5.9722×10^24 venus:4.8685×10^24 mars:6.4185×10^23
olchik [2.2K]

Answer:

what am i supposed to complete?

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • What is You have 32,40 and 28
    15·1 answer
  • Find the LCM of these numbers: 18, 27
    11·1 answer
  • Pls help choose 2 equations !! :) I will mark brainlist
    14·1 answer
  • The line y = -2x - 8 is graphed. Which ordered pairs are solutions to the equation? Check all that apply
    9·1 answer
  • Jen bought 5cds for 20.50 what was the unit price?
    12·2 answers
  • Help, need index form
    10·1 answer
  • Can someone help me with this please​
    14·1 answer
  • What is the number below that subtracted 7 from four times it multiplied and equals 1?
    14·1 answer
  • Giving brainliest to the correct answer
    13·2 answers
  • Participants in a survey were asked the number of hours of television they watch each week. The dot plot shows the distribution
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!