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
dezoksy [38]
3 years ago
10

Suppose you and a friend each choose at random an integer between 1 and 8, inclusive. For example, some possibilities are (3,7),

(7,3), (4,4), (8,1), where your number is written first and your friend’s number second. Find the following probabilities.
a. p(you pick 5 and your friend picks 8)
b. p(sum of the two numbers picked is < 4)
c. p(both numbers match)
Mathematics
1 answer:
Bezzdna [24]3 years ago
7 0

Answer and explanation:

Given : Suppose you and a friend each choose at random an integer between 1 and 8, inclusive.

The sample space is

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)  (1,7) (1,8)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)   (2,7) (2,8)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)   (3,7) (3,8)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)   (4,7) (4,8)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)   (5,7) (5,8)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)   (6,7) (6,8)

(7,1) (7,2) (7,3) (7,4) (7,5) (7,6)   (7,7) (7,8)

(8,1) (8,2) (8,3) (8,4) (8,5) (8,6)   (8,7) (8,8)

Total number of outcome = 64

To find : The following probabilities ?

Solution :

The probability is given by,

\text{Probability}=\frac{\text{Favorable outcome }}{\text{Total outcome}}

a) p(you pick 5 and your friend picks 8)

The favorable outcome is (5,8)= 1

\text{Probability}=\frac{1}{64}

b) p(sum of the two numbers picked is < 4)

The favorable outcome is (1,1), (1,2), (2,1)= 3

\text{Probability}=\frac{3}{64}

c) p(both numbers match)

The favorable outcome is (1,1), (2,2), (3,3), (4,4), (5,5), (6,6), (7,7), (8,8) = 8

\text{Probability}=\frac{8}{64}

\text{Probability}=\frac{1}{8}

You might be interested in
I need help with this pleaseeeeee
ella [17]
Which is your question?
8 0
3 years ago
Move the slider on the graph on the right to graph each function:
DedPeter [7]

Answer:

The domain is x\geq 7

The range is y\geq 1

Step-by-step explanation:

we have

y=\sqrt{x-7} +1

<em>Find the domain</em>

Remember that

The domain of a function is the set of all possible values of x

we know that the radicand of the function must be greater than or equal to zero

so

x-7\geq 0

solve for x

x\geq 7

therefore

The domain is x\geq 7

<em>Find the range</em>

Remember that

The range of a function is the complete set of all possible resulting values of y, after we have substituted the domain.

For x=7

The value of y is equal to

y=\sqrt{7-7} +1=1

so

The solution for y is the interval [1,∞)

therefore

The range is y\geq 1

6 0
3 years ago
Read 2 more answers
Which of the following graphs model exponential functions? Select all that apply.
shusha [124]

The given graphs model exponential functions are  a, b and c.

Option a, b and c are the correct answers.

To choose the graph.

<h3>What is exponential function?</h3>

A relation of the form y = ax, with the independent variable x ranging over the entire real number line as the exponent of a positive number a.

Given that:

The three graphs in the second picture are the graphs of exponential functions. You can detect it from the L shaped graphs.

The very first graph represents a linear function. A straight line always represents a linear function. In a Linear function, the change in the values of y is constant throughout in relative to change in x values.

Therefore,  the given graphs a, b and c are the correct answers.

Learn more about exponential function here:

brainly.com/question/28189362

#SPJ1

8 0
1 year ago
The graph of the parent function f(x) = x3 is translated such that the resulting graph can be represented by the function g(x) =
kirill115 [55]

Answer:

Translated 1 to the right and up one

Step-by-step explanation:

When the number is inside the parenthesis with x, that value represents a horizontal shift. because the original equation is (x-h), the opposite sign of the x value must be taken. so in this case the x value would be +1 because that is the opposite of -1, which means the function is being moved one to the right. when the number is being added to the outiside of the parenthesis, then you take that value for the vertical translations of the graph. because the original equation is (x-h)+k, then in this case there would be a vertical shift up by 1

8 0
3 years ago
Read 2 more answers
I need help like really bad in the next 10 mins or I fail math please help me-
shutvik [7]
The answer should be 16!!
5 0
3 years ago
Read 2 more answers
Other questions:
  • PLEASE HELP!! I think the answer is 62 but im not completely sure.
    12·2 answers
  • PLEASE HELP!!! WILL THANK AND MARK BRAINIEST!!!! Match the properties for 2.8 + 6.7 - 8.4 - 4.1
    9·1 answer
  • Two ratios that are equivalent to 5/7
    12·1 answer
  • 574 = 7w what is the inequality
    7·1 answer
  • Write an algebraic expression for “5 times the difference of q squared and r plus 8 times the sum of 3q and 2r”. Then simplify t
    12·1 answer
  • which set of numbers represent the lengths of the sides of a right triangle, 2,3,6/5,5,10/4,5,6/5,12,13?
    14·1 answer
  • -3/8 - 7/8 = <br>explicar el procedimiento por favor ​
    5·1 answer
  • Tamika works in a shoe store and is paid a 12% commission on her sales. In January her sales total was $3740. To her nearest dol
    8·2 answers
  • Drag all of the values to the box that round to 56.8 when rounded to the nearest tenth. 56.85 56.809 56.749 56.08 56.795 56.832
    5·1 answer
  • Mrs. Brooks brought 1 3/4 batches of cookies to school to share with her friends. At the end of the day, 1/2 of the cookies had
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!