In a​ lottery, the top cash prize was ​$642 ​million, going to three lucky winners. Players pick five different numbers from 1 to 53 and one number from 1 to 46. A player wins a minimum award of $400 by correctly matching two numbers drawn from the white balls​ (1 through 53​) and matching the number on the gold ball​ (1 through 46​). What is the probability of winning the minimum​ award?

Answers

Answer 1

Answer:

[tex] \frac{10}{53 \times 46 \times 26} [/tex]

Step-by-step explanation:

The probability of matching the number drawn on the gold ball is

[tex] \frac{1}{46} [/tex]

The number of possible pairs of numbers from 1 to 53 is

[tex] \binom{53}{2} = \frac{53 \times 52}{2} = 53 \times 26[/tex]

Choosing 5 numbers, you are choosing 10 different pairs:

[tex] \binom{5}{2} = \frac{5 \times 4}{2} = 10[/tex]

Therefore the probability of correctly matching the drawn pair is

[tex] \frac{10}{53 \times 26} [/tex]

Thus, the probability of winning (matching the pair AND the gold ball) is

[tex] \frac{10}{53 \times 46 \times 26} [/tex]


Related Questions

PLEASE HELP FAST WILL GIVE BRAINLIEST

Answers

Answer:

QT=8 VQ=17 this is what i came up with because i myself have ur question and i don't know what it is?

The simple interest on birr 400 invested for 4 months was birr 12, what is the annual (yearly) rate of interest?

Answers

Answer:

9%

Step-by-step explanation:

Given :

Principal, P = 400

Time, t = 4 months = 4/12 = 0.33333

Simple interest = 12

Simple interest = (principal * rate * time)

Rate = r

12 = (400 * r * 0.33333)

12 = 133.3333r

r = 12 / 133.3333

r = 0.090000

r = 0.09

rate = 0.09 * 100% = 9%

The students in Mr. Andersen's science class counted the number of leaves on each of 11 different rose bushes. The data they collected is:

26, 54, 38, 65, 58, 35, 52, 43, 55, 41, 61

What is the range of the set of data?

Answers

Answer:

35

Step-by-step explanation:

subtract highest and lowest numbers

A biologist has two brine solutions, one containing 7% salt and another containing 28% salt. How many milliliters of each solution should she mix to obtain 1 L of a solution that contains 19.6% salt?

Answers

Answer:

Each litters can be represented as; x and y respectively to the 7% and the 28%

x + y =1

7x + 28y =19.6

This a simultaneous equation and can either be solved by using elimination or substitution method

Using the substitution method

eqn1, x=1-y

putting into eqn2

7(1-y)+28y =19.6

7-7y+28y=19.6

21y=12.6

y=3/5

but x=1-y

so

x=1-3/5

x=2/5

2. The two figures are similar. Write the similarity statement. Consider Triangle 1 to be the pre-image and Triangle 2 to be the image (Hint: What scale factor would you multiply the side lengths of Triangle 1 by to obtain the side lengths in Triangle 2)?

Answers

Answer:

1.66666666667

Step-by-step explanation:

I have to find the scale factor of the side lengths. This would be 1.66666666667. Why? The side lengths for triangle 1 are: 40 and 50. Triangle 2's side lengths: 24 and 30. Match the lengths, and divide. 50 divided by 30=1.66666666667, and 40 divided by 24=1.66666666667, Hope this helped!

What is the equation represented by the table above?
A y = 8x
B y = x + 7
C y = 5x + 3
Dy = 3x + 5

Answers

Answer:

C:  y = 5x + 3

Step-by-step explanation:

Note that if x changes from 1 to 3 (the "run"), y changes from 8 to 14 (the "rise").  Thus the slope of the line represented by the table is m = rise/run = 6/2, or m = 3.  Answer choice D is the only one that displays a slope of 3.

Answer:

Answer is D

Step-by-step explanation:

A. 14=8(3), 14≠24

B. 14=3+7 , 14≠10

C. 14=5(3)+3, 14≠18

D.14=3(3)+5, 14=9+5 14=14

Find the area of the triangle shown
6 cm
8 cm
O 48 cm squared
O 24 cm squared
O 14 cm squared
O Not here

Answers

24 cm squared because area of a triangle is A=bh/2. 6 x 8 = 48, 48/2=24

If an item is on sale for 60% off, that means you actually PAY _____% of the price.

Answers

Answer:

40%

Step-by-step explanation:

100-60=40

Rob bought a hat and 3 shirts for $35. Dan bought 2 hats and a shirt for $20.

Which system of equations can be used to find s , the cost of one shirt, and h , the cost of one hat?

Answers

Answer:

1 shirt costs $11.2 1 hat costs $10.

Step-by-step explanation:

35 divided by 3

20 divided by 2

Does the figure below have rotational symmetry? Explain.

A.)Yes; it can be rotated 360° or less and match the original figure.
B.)Yes; it can be rotated 180° or less and match the original figure.
C.)No; it does not match the original figure after any rotation of 180° or less.
D.)No; it does not match the original figure after any rotation of 360° or less.

Answers

Answer:

B.) Yes; it can be rotated 180° or less and match the original figure.

Step-by-step explanation:

You have to trust me its b I did the quiz on Pearson Conexus. I would show a picture but I'm on pc and don't know how to .

My answer will help.

Anyways, have a great day/night !! <3

Step-by-step explanation:

Does the figure below have rotational symmetry? Explain.

A.)Yes; it can be rotated 360° or less and match the original figure.

B.)Yes; it can be rotated 180° or less and match the original figure.

C.)No; it does not match the original figure after any rotation of 180° or less.

D.)No; it does not match the original figure after any rotation of 360° or less.

simplify the screenshot below

Answers

Answer:

-4x - 16y

Step-by-step explanation:

Given:

-4(3x - 2x + 4y)

Required:

Simplify

Solution:

To simplify, apply the distributive property by multiplying every term that is inside the brackets by -4

Thus:

-4*3x -4*-2x -4*+4y

-12x + 8x - 16y

Add like terms

-4x - 16y

Which of the following graphs best represents a function that has a minimum value and x-intercepts of 3 and -1?

Answers

Answer:

a

Step-by-step explanation:

HElp pls :((((((((((((

Answers

Answer:Just add them all

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

First you have to find the percentage of pan crust to all the other crusts to do this you add all the crusts together:

397+220+167+196 = 980

Then divide 196 by 980:

196/980 = .2 or 20%

Then multiply 400 by 20%

400*20% = 80

A red car left the park at 9 am. An hour later a blue car left the same park, heading to the same destination. If both cars arrived at the destination at 1 pm, and the speed of the blue car was 15 mph faster than the red car, what was the speed of the blue car?

Answers

Answer: 60 mph

Step-by-step explanation:

Given

The red car left at 9 am and arrives at 1 pm

time taken by the red car [tex]t_a=4\ hr[/tex]

time taken by the blue car [tex]t_b=3\ hr[/tex]

Assume the speed of the red car is v

So, the speed of the blue car is v+15

distance traveled by them is the same

[tex]\Rightarrow v\times 4=(v+15)\times 3\\\Rightarrow 4v=3v+45\\\Rightarrow v=45\ mph[/tex]

Thus, the speed of the blue car is [tex]45+15=60\ mph[/tex]

PLEASE HELP!!!! WILL MARK BRAINLIEST IF CORRECT!!!!!!

The picture shows the question, tables, and multiple-choice answers.

Love you, tysm, happy tuesday <3

Answers

-2 would be your answer

Please help no links

Answers

Answer: Big rectangle shades 1/4+1/2

Step-by-step explanation:

So have a Big

can anyone help me with this question?

Answers

Answer:

45 and 13…......

Step-by-step explanation:

devide

I need help with this question

Answers

Answer:

286 Degrees

Step-by-step explanation:

A circle is 360 degrees, and from the question, we know that it is asking for ACB, so it would be 360 - 74, which is 286 degrees

Brainliest Maybe?

You r going to have to do 360 - 74 and u get ur answer

En san pedro de atacama, un dia de septiembre a las 7a.M., la temperatura fue de 6°c, la que fue aumentando 2,3°c en promedio por hora hasta que alcanzo su maxima de 30,15 °c ¿ a que hora alcanzo su temperatura maxima

Answers

Answer:

5:30 p.m.

Step-by-step explanation:

30.15 - 6 = 24.15

24.15 / 2.3 = 10.5 hrs

7 + 10.5 = 17.5 = 5:30 p.m.

Use The Figure Below to Solve For x.

Answers

Answer:

x=-1

Step-by-step explanation:

Hello there!

The information we are given:

We are told that the distance from point a to c is x + 10

We are told that the distance from a to b is 5

we are also told that the distance from b to c is 2x+6

Because from point A to B and B to C is inside the total of A to C we can add the two together and create a equation to solve for x

so the sum of the two parts 5 + 2x + 6

*combine like terms*

11 + 2x

is equal to the total distance (x+10)

now we solve for x

11 + 2x = x + 10

step 1 subtract x from each side by

2x - x =  x

x -x cancels out

now we have 11 + x = 10

step 2 subtract 11 from each side

11-11 cancels out

10 - 11 = -1

we're left with x = -1

Now lets plug in x and see if A to C is equal to A to B + B to C

(-1) + 10 = 5 + 2(-1) + 6

10 - 1= 9

2*-1=-2

6-2=4

4+5=9

9=9

which is true so we can conclude that x = -1

Is j+j+j+j and j with the power of four equivalent? ​

Answers

Answer:

No, they are not equivalent.

Step-by-step explanation:

j + j + j + j = 4j

j^4

Let's say j = 2

4j = 8

j^4 = 16

Answer:

NO

Step-by-step explanation:

j+j+j+j

remember multiplication is repeated addition!

j+j+j+j = 4j

THIS IS DIFFERENT! powers are repeated MULTIPLICATION.

j^4 = j to the power of 4 = j * j * j * j, NOT j+j+j+j !!!!!

Help please :) (asap)

Answers

x^2 - x - 6= 0

(x - 3) ( x + 2) = 0

Equating

x - 3 = 0

x = 3

x+ 2= 0

x = -2

Answer: x - 6

Step-by-step explanation:

Choose the correct statement about best-fit lines.
a.
A best-fit line is close to most of the data points.
b.
A best-fit line describes the exact coordinates of each point in the data set.
c.
A best-fit line always has a positive slope.
d.
A best-fit line must go through at least two of the data points.


Please select the best answer from the choices provided

A
B
C
D

Answers

Answer:

A

Step-by-step explanation:

A line of best fit is a line that gives an estimate of where the line would be, therefore it is close to most of the data points.

Answer:

A)

Step-by-step explanation:

URGENT!!!!HELP!!!!PLS!!!NOW!!!!!!HURRY!!!

Answers

Answer:

I'm guessing it's 4 i think but sorry if it's wrong

Step-by-step explanation:

Mario is buying a number of hamburgers from the local store that cost $2.90 each. He is also buying one packet of hamburger rolls at a cost of $4.75. He has $39.55 to spend at the store. Write and solve an inequality that shows how many hamburgers, h, Mario can afford to buy.
Write the inequality.

solve the inequality

Answers

Answer:

I think hamburgers=12

Step-by-step explanation:

anyone know the answer?

Answers

I legit can’t see it

If a car can travel 78 miles using 3 gallons of gas, what is the unit rate?

Answers

Answer:

26

Step-by-step explanation:

Well since a car can travel 78 miles Using 3 gallons

78/3=26

26 miles for each gallon

Answer:

26

Step-by-step explanation:

The unit rate refers to the distance the car can travel using 1 gallon of gas. One way to solve this is to create an algebraic equation like [tex]78=3x[/tex]. Then, to find the unit rate isolate x by dividing both sides by 3. This means that the unit rate is 26.

A rectangle has a perimeter of 150 cm. The length is 3 cm more than twice the width. Find the length and width of the rectangle.

Answers

Answer:

Length of rectangle = 51 cm

Width of rectangle = 24 cm

Step-by-step explanation:

Given:

Perimeter of rectangle = 150 cm

Find:

Length and width of the rectangle

Computation:

Assume;

Width of rectangle = a cm

Length of rectangle = 2a + 3 cm

Perimeter of rectangle = 2[l + b]

150 = 2[(2a + 3) + a]

2[3a + 3] = 150

6a + 6 = 150

6a = 144

a = 24

Width of rectangle = 24 cm

Length of rectangle = 2a + 3 cm

Length of rectangle = 2(24) + 3 cm

Length of rectangle = 51 cm

Consider the quadratic equation x2+8x+9=0. Which of the following is the correct form after substituting a, b, and c into the Quadratic Formula?

Answers

Answer:

x²+8x+9=0

Comparing above equation with ax²+bx +c

we get

a=1

b=8

c=9

quadratic equation is

[tex]x = \frac{ - 8± \sqrt{ {8}^{2} - 4×1×9} }{2*1} [/tex]

[tex]x = \frac{ -8± \sqrt{ 64-36} }{2} [/tex]

2x+8=±[tex] \sqrt{ {28}}[/tex]

taking + ve

2x=[tex] \sqrt{ {28}}[/tex]-8

x=[tex] 2\sqrt{ {7}}[/tex]-8/2

x=[tex] \sqrt{ {7}}[/tex]-4

taking -ve

2x=-[tex] \sqrt{ {28}}[/tex]-8

x=-[tex] 2\sqrt{ {7}}[/tex]-8/2

x=-[tex] \sqrt{ {7}}[/tex]-4

As given

x²+8x+9=0

General equation

Ax²+Bx+C

On comparing

A=1B=8C=9

I need help plzzz

-6p + 19 > 7

Answers

Answer:

p < 2

Step-by-step explanation:

hope this is right and have a good day

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