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
vova2212 [387]
3 years ago
13

You roll two fair dice, a green one and a red one. (a) What is the probability of getting a sum of 7? (Enter your answer as a fr

action.) 1/6 Correct: Your answer is correct. (b) What is the probability of getting a sum of 11? (Enter your answer as a fraction.) 1/18 Correct: Your answer is correct. (c) What is the probability of getting a sum of 7 or 11? (Enter your answer as a fraction.) 2/9 Correct: Your answer is correct. Are these outcomes mutually exclusive?
Mathematics
1 answer:
Lera25 [3.4K]3 years ago
7 0

Answer:

a) 0.167  b)0.056  c)0.023

Step-by-step explanation:

We are given the following information:

Sample space = {(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)}

Total number of outcomes = 36

Formula:

\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}

a) P(sum is 7)

Sum 7 possible outcomes = {(1,6), (2,5), (3,4), (4,3), (5,2), (6,1)}

= P = \displaystyle\frac{6}{36} = \displaystyle\frac{1}{6} = 0.167

b) P(sum is 11)

Sum 11 possible outcomes = {(5,6), (6,5)}

= P = \displaystyle\frac{2}{36} = \displaystyle\frac{1}{18} = 0.056

c) P( sum is 7 or sum is 11)

= P(\text{sum is 7}) + P(\text{sum is 11}) - (P(\text{sum is 7}\cap \text{sum is 11})) \\= \displaystyle\frac{6}{36} + \displaystyle\frac{2}{36} + 0\\\\= \displaystyle\frac{8}{36} = \displaystyle\frac{2}{9} = 0.223

You might be interested in
What is a factor of -270 that adds to be -39
sergeinik [125]
For this one your answer is -309
4 0
3 years ago
(1 2/7-3/14)/8/15trying to remember how to do this
SOVA2 [1]

We will write it as a fraction in ordet to solve, that is:

\frac{(1\frac{2}{7}-\frac{3}{14})}{(\frac{8}{15})}

We then operate as follows:

\frac{((\frac{7}{7}+\frac{2}{7})-\frac{3}{14})}{(\frac{8}{15})}\Rightarrow\frac{(\frac{9}{7}-\frac{3}{14})}{(\frac{8}{15})}\Rightarrow\frac{(\frac{15}{14})}{(\frac{8}{15})}\Rightarrow\frac{15\cdot15}{14\cdot8}\Rightarrow\frac{225}{112}

We have this, since 1 integer will be equal as a numerator divided by a denominator with equal values. Examples 1 = 2/2, 1 = 45/45, ...

8 0
1 year ago
La media de una población es 683.5g y su desviación estándar 52.1g. Determina la puntuación estándar para el valor 652.1​
Ket [755]

Respuesta:

- 0,60

Explicación paso a paso:

Dado que:

Media poblacional, μ = 683,5

Desviación estándar, σ = 52,1

Puntuación, x = 652,1

La puntuación estandarizada, Z = (x - μ) / σ

Puntuación Z = (652,1 - 683,5) / 52,1

Puntuación Z = - 31,4 / 52,1

Zscore = −0.602687

Puntaje estandarizado = - 0.60

7 0
3 years ago
The average amount of time it takes Greg to mow x lawns can be defined by the expression 28x + 5. In this scenario, what does th
inna [77]

Answer:

the answer is 140 hope this helped

6 0
3 years ago
What is the area of the square?
NISA [10]
The area is 4 square meters, because 2x2 would be 4
7 0
3 years ago
Other questions:
  • Simplify the expression. Write your answer using only positive exponents:7^6 x 7 x 7^-4
    8·1 answer
  • For one month, Terry recorded the time at which her school bus arrived. She organized her results in a frequency table. Find the
    5·1 answer
  • I have a flower vase with a 6 " diameter and is 12 " tall I want to fill it 2/3 of the way full how many cubic inches will I fil
    12·1 answer
  • Hal ran 5 3\8 miles in the race. Fred ran 3 5\8 miles.
    5·1 answer
  • I need help with these questions also plz show work
    11·2 answers
  • 36+42=6(6+?) what unknown number makes. the equation true ?
    9·1 answer
  • 5(7 − 4)2 ÷ 3 + 11 =
    9·1 answer
  • Evaluate the following expression <br> 9+ 2/8^3=
    15·2 answers
  • 15-6/3*7+2 which operation should be done first
    7·2 answers
  • You are pouring canned sodas Into a cylindrical pitcher. Each can
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!