You roll a six-sided die and observe the number showing on the top side when the die comes to rest. What is the probability of observing:

a. an odd number?


b. a number greater than 2?


c. a number less than 7?


d. a prime number?

Answers

Answer 1

Answer:

a. P(O) = ¹/₂ = 0.5

As a percentage, this is 50%

b. P(> 2) = ²/₃ = 0.666...

As a percentage, this is 66.6...%

c. P(< 7) = 1

As a percentage, this is 100%

d. P(prime) = ¹/₂ = 0.5

As a percentage, this is 50%

Step-by-step explanation:

a.

1, 3 and 5 are odd, 3 of the outcomes

2, 4 and 6 are even, 3 of the outcomes

So, 3 of the 6 possible outcomes are odd and 3 are even;

Thus, the probability of an odd roll is ³/₆ (and the same applies to even);

This can be simplified to ¹/₂

b.

3, 4, 5 and 6 are the outcomes > 2;

1 and 2 are the outcomes ≤ 2;

So, 4 of the 6 possible outcomes are > 2;

Thus, the probability of rolling < 2 is ⁴/₆;

This can be simplified to ²/₃

c.

All outcomes are less than 7 since they are 1, 2, 3, 4, 5 or 6;

This means the probability of rolling less than 7 is ⁶/₆, or simply 1

d.

Prime numbers: 2, 3, 5, 7 ...

The possible prime number outcomes are 2, 3 and 5;

3 of the 6 possible outcomes, therefore, are prime so the probability of rolling a prime is ³/₆ or ¹/₂


Related Questions

A triangle has side lengths of (9d+ 4) centimeters, (9d + 2) centimeters, and (3f - 2) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?​

Answers

Perimeter is the sum of the 3 sides.

Add the 3 sides together by combining like terms.

9d +4 + 9d+2 + 3f -2

9d+9d = 18d

4 + 2-2 = 4

Combining like terms you get:

18d +3f +4

Tito purchased 11 tickets to a baseball game for $374. about how much did one ticket cost?

Answers

Answer:

$34

Step-by-step explanation:

374/11=34

Answer:

One ticket cost $34

Step-by-step explanation:

Tito purchased 11 tickets for $374 so divide $374 by 11 and you get $34

The recursive algorithm given below can be used to compute gcd(a, b) where a and b are non-negative integer, not both zero. procedure gcd(a, b) if a > b then gcd(a, b) := gcd(b, a) else if a = 0 then gcd(a, b) := b else if a = 1 then gcd(a, b) := 1 else if a and b are even then gcd(a, b) := 2gcd(a/2, b/2) else if a is odd and b is even then gcd(a, b) := gcd(a, b/2) else gcd(a, b) := gcd(a, b − a) Use this algorithm to compute (a) gcd(124, 244) (b) gcd(4424, 2111).

Answers

Coding the given algorithm in python 3, the greatest common divisor of the values (124 and 244) and (4424 and 2111) are 4 and 1 respectively.

The program implementation goes thus :

def gcd(a, b):

#initialize a function named gcd which takes in two parameters

if a>b:

#checks if a is greater than b

return gcd (b, a)

#if true interchange the Parameters and Recall the function

elif a == 0:

return b

elif a == 1:

return 1

elif((a%2 == 0)and(b%2==0)):

#even numbers leave no remainder when divided by 2, checks if a and b are even

return 2 * gcd(a/2, b/2)

elif((a%2 !=0) and (b%2==0)):

#checks if a is odd and B is even

return gcd(a, b/2)

else :

return gcd(a, b-a)

A sample run if the program on the values given :

print(gcd(124, 244))

print()

#leaves a space after the first output

print(gcd(4424, 2111))

Learn more :brainly.com/question/25506437

solve pls brainliest

Answers

Answer:

40

Step-by-step explanation:

LCD = 40
9/8 and 1/10 = 45/40 and 4/40

In the board game Clue, the object of the game is to determine the which character is the murderer, which weapon was used and in which room the murder took place (e.g., “Colonel Mustard with the Candlestick in the Library”). There are 6 different characters, 6 weapons, and 9 rooms. How many different outcomes are possible?

Answers

Answer: 324 different outcomes

Step-by-step explanation: Multiply all of the possibilities together to get the total amount of outcomes. 6 * 6 * 9 = 324

Would appreciate a brainly <3

324
The other dude explained it

The selling price for houses in a neighborhood in West Richland, WA have an approximately normal distribution with a mean selling price of $275,000 and a standard deviation of $10,500. If 35 homes sell in this neighborhood, what is the probability that the average selling price of the 35 homes will be within $2000 of the true mean (that is, what is the probability the sample mean will be between $273,000 and $277,000)

Answers

The probability that the average selling price of the 35 homes will be within $2000 of the true mean is 0.5753

First, we need to find the z-score and this is expressed according to the formula;

[tex]z=\dfrac{x-\mu}{\sigma}[/tex]

x is the sample space

[tex]\mu[/tex] is the mean value

[tex]\sigma[/tex] is the standard deviation

Given the following parameters

Mean = $275,000

Standard deviation = $10,500

If the true mean is $273,000, then;

[tex]z=\dfrac{273,000-275000}{10,500} \\z = \frac{-2000}{10500}\\z= -0.1905[/tex]

If the true mean is $277,000

[tex]z=\dfrac{277,000-275000}{10,500} \\z = \frac{2000}{10500}\\z= 0.1905[/tex]

This means that the z-score is between -0.1095 and 0.1095

Pr( -0.1095 ≤ z ≤ 0.1095)

According to the z table, the probability that the average selling price of the 35 homes will be within $2000 of the true mean is 0.5753

Learn more here: https://brainly.com/question/17436641

how to solve subtraction of percentage from whole numbers​

Answers

To subtract any percentage from a number, simply multiply that number by the percentage you want to remain. In other words, multiply by 100 percent minus the percentage you want to subtract, in decimal form. To subtract 20 percent, multiply by 80 percent (0.8)

Need help please
Will give Brainliest

Answers

Answer:

Step-by-step explanation:

1) Inequality Form: a < 2.9 Interval Notation: ( 2.9 )

2) graph

same as 3, 4, 5

6) Inequality Form: 2 < y < 5 Interval Notation: ( 2 , 5 )

7)

a) 110+92=202+x=c

b) 110+92=202

202+98=300

Jane Rose’s semimonthly salary is $750. Her yearly salary is A.$9000 B. $12,500 C. $18,000 D. $19,500 E. $21,000

Answers

A because 750 times 12 because there is 12 months in a year. You get 9000

Answer:

C. $18,000

Step-by-step explanation:

Given that her semimonthly salary is $750, find her yearly salary.

Semimonthly means twice a month, meaning that she will receive 24 paychecks every year.

750x24=18,000

=$18,000

Hope this helps :)

Mike can drive 345 miles on
15 gallons of gas. How many
miles per gallon does Mike
get?

Answers

Answer:

23

if you have 15 gallons of gas and it makes it 345 miles that is 345 divided by 15 which is 23 or 023

15x2 equals 30 34 - 30 equals 4 bring the 5 down you have 45 15x3 equals 45, 45 - 45 equals 0

How many palindromes between 1000 and 9999 inclusive are divisible by 9?

Answers

Palindromes are numbers that remain the same, when reversed.

There are 10 palindromes divisible by 9 between 1000 and 9999

To do this, we list the numbers divisible by 9 between 10 and 99.

The numbers are:

[tex]\mathbf{A = 09,\ 18,\ 27,\ 36,\ 45.\ 54,\ 63,\ 72,\ 81,\ 90,\ 99}[/tex]

Flip these numbers

[tex]\mathbf{B =90,\ 81,\ 72,\ 63,\ 54.\ 45,\ 36,\ 27,\ 18,\ 09,\ 99}[/tex]

Combine corresponding numbers

[tex]\mathbf{AB =0990,\ 1881,\ 2772,\ 3663,\ 4554,\5445,\ 6336,\ 7227,\ 8118,\ 9009,\ 9999}[/tex]

Rewrite as:

[tex]\mathbf{AB =990,\ 1881,\ 2772,\ 3663,\ 4554,\5445,\ 6336,\ 7227,\ 8118,\ 9009,\ 9999}[/tex]

990 is less than 1000.

So, we have:

[tex]\mathbf{AB =1881,\ 2772,\ 3663,\ 4554,\5445,\ 6336,\ 7227,\ 8118,\ 9009,\ 9999}[/tex]

Count the numbers

[tex]\mathbf{n(AB) =10}[/tex]

Hence, there are 10 palindromes divisible by 9 between 1000 and 9999

Read more about palindromes at:

https://brainly.com/question/14076732

a stand at the farmer's market sells different types of apples as shown in
the table. Which type of apple costs the least per pound?

Answers

Answer:

C

Step-by-step explanation:

Please help asap..
20 POINTS
THX

Answers

Answer:

B

Step-by-step explanation:

we know that the inverse function undoes the original function, there fore we get the answer as the second choice

Answer:

A is correct

Good Luck!!

A carpentry class wants to make $260$260 to donate to charity. They decide to sell birdhouses for $16$16 each. After selling some birdhouses, they still need to raise $100$100. How many birdhouses did they sell?

Answers

Answer:

6 but technically with a decimal it's 6.25

Step-by-step explanation:

(PHOTO) Please help need this done by tomorrow thank you.
Solve for x. k 2x + 4 4x - 88 x = [?]​

Answers

Answer:

2x + 4 = 4x - 88

x = 46

Answer:

x = 46

Step-by-step explanation:

These angles are known as corresponding angles. This means they are equal to one another.

[tex]4x-88=2x+4\\2x-88=4\\2x=92\\x=46[/tex]

Pls help me if i got to fimd the quotient and it is due pls help if I got any of them wrong ple put it in the answer NO LINK YA SCAMMERS I don't even have anything for yall to steal from me

Answers

Answer:

4.75 divided by 5 =0.95

Step-by-step explanation:

Please take a look at the picture

Answers

Answer:B

Step-by-step explanation:

A: cannot be because it’s the same but the -m is not equal .

B: is the same as ,and B: because 2 (minus number) = right number .

C:Is nOne oF the AboVe

Sorry if explanation is not clear but yes it’s is 99% B ;)

But I do think it is wrong…

Hope you have a. Great day!

:)

Help pls I have no clue what this is

Answers

Answer:

  b = 76°

Step-by-step explanation:

Angle JIK is the smaller acute angle in one of four congruent right triangles. Angle GHK is the larger acute angle in those triangles, marked as 60°. The sum of the acute angles in a right triangle is 90°, so you have ...

  60° +(b-46)° = 90°

  14° +b = 90° . . . . . . . simplify

  b = 76° . . . . . . . subtract 14°

What is 2,000/3.67 estimate

Answers

Answer:

an estimate would be 2000/4 so it would be 500

Step-by-step explanation:

hope this helped <3

What is the product of ?

Answers

Answer: Mathematics

Step-by-step explanation:

Answer: Hello I want to know what is the product of what you need to give me a number.

Step-by-step explanation:

Make g the subject of the formula r = 4g +7​

Answers

Answer:

4 better explanation inbox

Step-by-step explanation:


What is the decimal multiplier to decrease by
15%?

Answers

Answer:

0.85

Step-by-step explanation:

Answer:

first calculate the percenatge of the ammount and then either add this answer on to increase the qauntity

I need to know what is in the process box, it goes with the formula y=mx+b

Answers

Answer:

y= 8.5x - 10

Step-by-step explanation:

I think it is substracting because it's how much remains, if its wrong it could either be 10x - 8.5 or 8.5x + 10

Thirty students were sent home for a week with a video game to play. Some were sent home with video game A, others with game B. The number of hours they spent playing the game is recorded below. Which game has a higher median number of hours, and how much higher is it than the median number of hours for the other game

Answers

Answer:

U never showed the thing below.

Step-by-step explanation:

3x + 2 = 2x + 7
Solve x

Answers

3x + 2 = 2x + 7

Subtract 2 from both sides:

3x = 2x +5

Subtract 2x from both sides:

x = 5

Answer: x = 5

do you have a cat and if so how old is he or she

Answers

To be honest in my opinion, without offending anyone or being condescending, and without triggering anyone, I just want to say I got nothing to say but I have none

[tex]Simplify: 5 1/12 - 2 3/4 =[/tex]5 1/12 - 2 3/4 =

Answers

Answer:

51/12 - 23/4

find the LCM of 12 and 4

51-69/12= -18/12= -9/6 = -3/2 = -1.5

Evan and Brayden want to know if they have more X Box games than Reid and Bryce do
combined. Evan has 43 and Brayden has 42. Reid has 76 and Bryce has 23. Which pair of
boys has more? How much more do they have?

Answers

Answer:

Step-by-step explanation:

Evan has 43 and Brayden has 42. Reid has 76 and Bryce has 23. Which pair of boys has more? How much more do they have?

Reid and Rryce have more. If you add 43 and 42 you get 85 and when you add 76 and 23 you get 99. So now subtract 99 and 23 which is 76.

simplify 2/3x-4/9y+x+y

Answers

Here is ur perfect answer

I think this will help you

Find the sum 52,679 + 3,596

Answers

Answer:

56,275

Step-by-step explanation:

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