1.5.2. You have a six-sided die that you roll once. Let Ri denote the event that the roll is i. Let Gj denote the event that the roll is greater than j. Let E denote the event that the roll of the die is evennumbered. (a) What is PR3 jG1 , the conditional probability that 3 is rolled given that the roll is greater than 1

Answers

Answer 1

Answer:

What is PR3 jG1 , the conditional probability that 3 is rolled given that the roll is greater than 1

                            =0,02

Step-by-step explanation:

Sample Space for rolling a die, S(1,2,3,4,5,6]

Since all the outcomes are equally P( rolling any numebre)=1/6

G1=(2,3,4,5,6)

Hence P(G1) =P (R2)+P (R3)+P (R4)+P (R5)+P (R6)

Hence P(G1) =5/6

and R3= [3]

Hence G1  ∩ R3 =  [3]  =  R3

Hence P(G1  ∩ R3) =P( R3) =1/6

What is PR3 jG1 , the conditional probability that 3 is rolled given that the roll is greater than 1

P(G1  ∩ R3) / P(G1) = (1/6)/ (5/6=

                             =0,02


Related Questions

In a class of 26 students, 11 are female and 10 have an A in the class. There are 2 students who are female and have an A in the class. What is the probability that a student is a female given that they have an A?

Answers

The probability that a student is a female given that they have an A is 0.2

How to determine the probability?

The given parameters are:

Female = 11

A= 10

Female and A = 2

The probability is calculated using:

P(Female given A) = P(female and A)/P(A)

This gives

P(Female given A) = 2/10

Simplify

P(Female given A) = 0.2

Hence, the probability that a student is a female given that they have an A is 0.2

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https://brainly.com/question/251701

#SPJ1

Find the total fare with 15% tip: 1 passenger, 512 miles.


$9.89


$9.20


$10.23


$8.60

Answers

Answer:

37.92

Step-by-step explanation:

just add

Answer:

The answer would be $8.60

Step-by-step explanation:

np

Write as a unit rate. 56 laps in 7 minutes = how many laps per minute?
(btw, I'm friending everyone who answers the question correctly and fast.)

Answers

Answer:

8 laps per minute

Step-by-step explanation:

56 laps in 7 minutes corresponds to the unit rate:

56 laps / 7 minutes = 8 laps/minute

That is : 8 laps per minute

Answer:

8 laps per min

Step-by-step explanation:

56 laps in 7 minutes!? They must be the flash

Help needed for this math question.

Answers

Is this algebra or geometry??

We shuffle a deck of cards and deal three cards (without replacement). Find the probability that the first card is a queen, the second is a king, and the third is an ace.

Answers

Answer:

the probability that the first card is a queen, the second is a king, and the third is an ace is 0.000482655

Step-by-step explanation:

Given the data in the question;

we know that a deck of cards contains 52 cards

3 cards are dealt out without replacement

probability that first card is queen, the second is king and third is an ace will be;

P(First is a King, second is a Queen, third is an Ace) = [ 4/52 ] × [ 4/51 ] × [4/50]

= 64 / 132,600

=  0.000482655

Therefore,  the probability that the first card is a queen, the second is a king, and the third is an ace is 0.000482655

What is the volume of the rectangular prism?

Answers

Answer:

72cm³

Step-by-step explanation:

The volume of the rectangular prism = Base area * Height

Base area = length * width

Base area = 6cm * 3cm = 18cm²

Height = 4cm²

volume of the rectangular prism = 18 * 4

volume of the rectangular prism = 72cm³

Timothy read 3,876 pages this school year. Amelia read 3,768 pages. Who read more pages this school year? E​

Answers

Answer:

Timothy

Step-by-step explanation:

Timothy because he read 3,876 pages this year.

Sweet Treats sells candy by the
pound as shown in the table:


Oscar says the unit rate is $3.99 per pound of candy


Olivia says the unit rate is 7.98 per pound of candy


A. Oscar
B. Olivia

Why did you use this answer

Answers

The unit rate is 3.99 meaning Oscar is correct. The correct answer is A because if you divide the cost by the amount you will get 3.99. :)

A map is drawn to scale such that 1 inch equals 100 miles. To mark a distance of 500 miles, the length on the map must be_____ inches.

Answers

Answer:

5 inches

Step-by-step explanation:

its simple

1in-100m

500m= 100m x 5

so multiply five to the other side

1in x 5=5 in

5in-500m

Answer:

5 inches

Step-by-step explanation:

100 miles = 1 inch

500 miles = 500/100 * 1 = 5 inches

you're welcome....

The ratio of the number of text messages sent by Diego to the number of text messages sent by his sister is 3 to 4. Diego sent 18 text messages. How many more text messages did his sister send?​

Answers

Answer:

His sister sent 6 more messages than Diego.

Step-by-step explanation:

Ratio of Diego's messages to his sister's messages = 3 : 4

Text messages sent by Diego = 18

Text messages sent by his sister = x

Ratio = 18 : x

It is a proportional relationship,

3 : 4 :: 18 : x

Product of extremes = Product of means

3x = 18*4

3x = 72

[tex]\frac{3x}{3}=\frac{72}{3}\\x=24[/tex]

Difference = 24 - 18 = 6

Therefore,

His sister sent 6 more messages than Diego.

I WILL GIVE BRAINLY HELPPP Find the total surface area of the right triangular prism given:
LE = 90°, DE = 12 inches, EF = 16 inches, DF = 20 inches, and EB = 11 inches.

Answers

Answer:

The height of right triangular prism is 7.5 in.

hope this helps

Write the perimeter of the triangle as a simplified
polynomial. Then factor the polynomial.
2x2 +1
8x+2
x²+2x

Answers

Answer: below hopes it helps

Step-by-step explanation:

What is the factored expression for 14 X +49

Answers

Answer:

7( 2x+7)

Step-by-step explanation:

14 X +49

Rewriting

2*7*x + 7*7

Factor out a 7 from each term

7( 2x+7)

What is the inverse function of f(x) = x


Answers

f-1(x) f(x)-1
Inverse of the function f f(x)-1 = 1/f(x) (the Reciprocal

The area of Shawn's bedroom is 110 square feet. He places his bed, which is 7 feet long and 5 feet wide, in one corner of the bedroom. How much space will Shawn have left?​

Answers

Answer:

gggg

Step-by-step explanation:

duxufif8fis5durris5is

Classify the pair of angles as adjacent, vertical, supplementary, complementary, or neither.

Answers

Answer:

adjacent supplementary angles

Step-by-step explanation:

The angles labeled 1 and 2 are adjacent angles which are called a linear pair. their measure add up to 180 deg, so they are adjacent and supplementary angles.

What is the measure of angle M?

Answers

Answer:

35°

Step-by-step explanation:

4x+11 = 5x-24

5x-4x=x

x=24+11

x=35

y = 5. – 7 2y = –12 -3x​

Answers

Answer:

!! solved as -7(2y)= -12(-3x)

x= negative 1.943333

Step-by-step explanation:

Four friends are training for long races. Eduardo ran 5.123 miles, Kandis ran 6.34 miles, Khaliyah ran 7.1 miles, and Moises ran 8 miles. b: Khaliyah ran how much further than Eduardo?​

Answers

Answer:

1.977 miles

Step-by-step explanation:

Focus on how many miles Khaliyah and Eduardo are training.

Khaliyah = 7.100 miles

Eduardo = 5.123 miles

Difference = 7.100 - 5.123 = 1.977

.) The total cost of a pizza and 3 drinks is $19. The price of the pizza is $10 and each drink is the

same price, d.

6) Which model represents the situation?

10

d

d

d

19

10

d

19

10-d

10-d

10-d

19

10

10

10

d

19

o

Answers

Answer:

The total cost of a pizza and 3 drinks is $19. The price of the pizza is $10 and each drink is the

same price, d.

6) Which model represents the situation?

Caviar is an expensive delicacy, so companies that package it pay very close attention to the amount of product in their tins. Suppose a company that produces over 1000 tins of caviar per day took an SRS of 20 tins from one day's production. The sample showed a mean of 99.8g of caviar per tin with a standard deviation of 0.9g. The data were roughly symmetric with no outliers.

Required:
Based on this sample, estimate with 95, percent confidence the mean amount of caviar (in grams) per tin from that day's production.

Answers

Answer:

95% of the confidence interval of the mean amount of caviar per tin from that day's production

(99.3788.100.2212)

Step-by-step explanation:

Step(i):-

Given that the size of the sample 'n' = 20

Given that mean of the sample = 99.8 g

Given the standard deviation of the sample = 0.9g

Level of significance = 0.05

[tex]t_{\frac{0.05}{2} ,19} = t_{0.025,19} = 2.093[/tex]

Step(ii):-

95% of the confidence interval of the mean amount of caviar per tin from that day's production

[tex](x^{-} - t_{0.025,19} \frac{S}{\sqrt{n} } , x^{-} + t_{0.025,19} \frac{S}{\sqrt{n} })[/tex]

[tex](99.8 - 2.093 \frac{0.9}{\sqrt{20} } , 99.8 + 2.093 \frac{0.9}{\sqrt{20} })[/tex]

on simplification, we get

(99.8 -0.4212 , 99.8+0.4212)

(99.3788.100.2212)

Final answer:-

95% of the confidence interval of the mean amount of caviar per tin from that day's production

(99.3788.100.2212)

The confidence interval with 95%  confidence where the mean amount of caviar (in grams) per tin from that day's production is [tex]\bold{99.8 \pm 0.9344}[/tex].

Given to us,

size of the sample, n = 20,

mean of the sample, [tex]\bar{x}[/tex] = 99.8 g

the standard deviation of the sample, σ = 0.9g

As, we know, the confidence level value for 95% confidence is 1.960.

[tex]z = 1.960[/tex]

Also, the formula for the confidence interval is given as,

[tex]CI = \bar{x} \pm z \dfrac{s}{\sqrt{n}}[/tex]

where,

CI =  confidence interval

[tex]\bar{x}[/tex] =  sample mean

z =  confidence level value

σ =  sample standard deviation

n      =  sample size

For, 95% of the confidence interval of the mean amount of caviar per tin from that day's production,

[tex]CI = \bar{x} \pm z \dfrac{\sigma}{\sqrt{n}}[/tex]

substituting the values,

[tex]\begin{aligned}CI &= 99.8 \pm (1.960) \dfrac{0.9}{\sqrt{20}}\\&=99.8 \pm 0.9344\\\end{aligned}[/tex]

Hence, the confidence interval with 95%  confidence where the mean amount of caviar (in grams) per tin from that day's production is [tex]\bold{99.8 \pm 0.9344}[/tex].

To know more visit:

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help me please...step by step pleaseeeee

Answers

Answer: [tex]10\sqrt{10}[/tex]

Step-by-step explanation:

Geometric mean= Number of terms root of the product of all the terms of that sequence

sqrt(2sqrt(5)*5sqrt(2))= 10sqrt(10)

solutions to 2-variable equations y=-2x-5

Answers

Answer:(1, -3).

Step-by-step explanation:

If y=2x-5 is equation (1) and 4x-y=7 is equation (2), then substitute equation (1) in equation (2):

4x - (2x - 5) = 7

4x - 2x + 5 = 7

2x = 7-5

2x = 2

x = 1

Now substitute the value of x in equation (1) to find the value of y:

y = 2 (1) - 5

y = 2 - 5

y = -3

11. Two students describe how to solve the equation, 23+n=29 . Student A says to add 23 to both sides, while Student B says to subtract 23 from both sides. [3 points]
Part A. Which student has the correct description and why?
Part B. Solve the equation 23 + n =29 using inverse operations.

Answers

Answer:

student b

Step-by-step explanation:

the 23 is a positive # so you would not add but subt.

23+n=29

-23     -23

n=6

Answer:

You have Ms. Keten too? Tbh I dont like her as a math teacher.

HELP MIDDLE SCHOOL QUESTION

Answers

1897 is how much he ran

what is 0.5( -16p - 6) = ?​

Answers

Answer:

−8p−3

Step-by-step explanation:

Thomas has constant speeds for both running and walking. When a down-escalator is moving, Thomas can run down it in 15 seconds or walk down it in 30 seconds. One day, when the escalator was broken (and stationary), it took Thomas 20 seconds to run down it. How long, in seconds, would it take Thomas to walk down the broken escalator?

ANSWER QUICK PLS ASAP

Answers

.....................

Answer:

40

Step-by-step explanation:

Enter the missing number 57+[34+]=[57+34]+105

Answers

Answer:

105

Step-by-step explanation:

Tara needs an $8,000 personal loan.

Which loan option would require her to pay back the least amount of money?


36-month loan with a 9% annual simple interest rate

42-month loan with a 7% annual simple interest rate

48-month loan with an 8% annual simple interest rate.

54-month loan with a 6% annual simple interest rate plaese awnser correctly ned today

Answers

Step-by-step explanation:

54-month loan with a 6% annual simple interest rate plaese awnser correctly ned today step by step can you tell me

If f4y 3 = 6y + 9, what is the value of 7y?

Answers

Answer:

-3-6y=9

Step-by-step explanation:

The answer is y = -1
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