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
olganol [36]
3 years ago
8

The game is played by Drawing five white balls out of a drum of 69 white balls (numbered 1-69) and one red power bowl out of a d

rum 26 red balls (numbered 1-29) The jackpot is one by matching all five white balls in any order in the red Powerball.
Mathematics
1 answer:
blsea [12.9K]3 years ago
5 0

Answer:

The expected value for purchasing one ticket for the jackpot = $77.26

Step-by-step explanation:

We first compute the probability mass function for the problem.

Probability of winning the jackpot

One has to get all 5 white ball and the one red ball correctly. There are 69 white balls and 26 red balls.

5 white balls can be selected from 69 with order not important, and 1 red ball selected from 26 red balls in

⁶⁹C₅ × ²⁶C₁ ways = 292,201,338 ways

And there are (5! × 1) different combinations of those winning numbers = 120 combinations (since order isn't important for the 5 numbers of the white balls)

Required Probability of winning

= (120 ÷ 292,201,338) = 0.0000004107

= (4.107 × 10⁻⁷)

To win, one would buy a $2 ticket, and win $193 million.

Amount of winnings = 193,000,000 - 2 = $192,999,998

Probability of losing = 1 - (Probability of winning) = 1 - (4.107 × 10⁻⁷) = 1

To lose, one would buy a $2 ticket and win nothing.

Amount of winnings = 0 - 2 = -$2

So, the probability mass function

X | 192,999,998 | -2

p | (4.107 × 10⁻⁷) | 1

Expected value = E(X) = Σ xᵢpᵢ

E(X) = [(192,999,998) × (4.107 × 10⁻⁷)] + (-2)(1)

E(X) = 79.26 - 2 = $77.26

Hope this Helps!!!

You might be interested in
1. Find the vertex of the following: y = (x - 4)(x - 10) *
horsena [70]

Answer:

1. (7,-9)

2. (4,0) and (10,0)

3. (3,0) and (-3,0)

4. (0,-9)

5. (-1,-32)

Step-by-step explanation:

To find the vertex use the formula

\frac{-b}{2a}

First make the equation into a quadratic equation.

(x-4)(x-10)\\x^{2} -10x-4x+40\\x^{2} -14x+40

Now it is in the form

ax^{2} +bx+c=0

Now we can substitute the values

\frac{-(-14)}{2(1)} \\\frac{14}{2} \\7

Now we have 7 as our x value for the vertex we can substitute for y,

x^{2} -14x+40=y\\(7)^{2} -14(7)+40=y\\49-98+4=y\\y=-9

So the vertex for 1 is (7,-9)

To find the intercepts for 2 & 3, they basically already give it to you. You just need to find a value for x for x-4 that will equal it to 0 and another for x for x-10 that will equal it to 0.

x-4=0\\x=4\\\\x-10=0\\x=10

4 is slightly different but start the same,

(x-3)(x+3)\\x^{2}+3x-3x-9\\x^{2}-9

Here, c (9) just shows the graph move down 9, so the y intercept = 9.

5 is the same process as 1,

2(x-3)(x+5)\\2(x^{2}+5x-3x-15)\\2(x^{2}+2x-15)\\2x^{2}+4x-30

Vertex,

\frac{-(4)}{2(2)} \\\frac{-4}{4} \\-1

Substitute,

2x^{2}+4x-30\\2(-1)^{2}+4(-1)-30\\2-4-30\\-32

So the vertex is (-1,-32)

8 0
3 years ago
Which statement is true?
Taya2010 [7]

Answer:

The sum of 78 and -78 is zero.

Step-by-step explanation:

I used a calculator ;)

7 0
2 years ago
Read 2 more answers
Perpendicular to y=1/2-1, x-intercept at4
AlexFokin [52]

Answer:

it would be Y= -2x+4

Step-by-step explanation:

To begin, we know that the b value is 4, because that is the x-intercept that is information given, so we can atomatically put that in.

Next we need to find the m value, which can be found by knowing the rules of a perpendicular eqution. to change it you must change the 1/2 and flip the equation and change the signs

soooooo  1/2 would change into 2/1   which is 2 and we would addd the negative sign so

Y=-2x+4

8 0
3 years ago
Read 2 more answers
Please simplify: 5x + 2 (x - 3) = -2 (x - 1)
zysi [14]

Answer:

x= 8/9

Step-by-step explanation:

Open everything up to get 5x+2x-6=-2x+2. Move numbers with an x to the left side and without to the right to have 5x+2x+2x=2+6. Simplify to have 9x=8. Divide by 9 which leaves you with x= 8/9

3 0
3 years ago
What is the greatest common factor of 20x6y+40x4y2−10x5y5 ?
mestny [16]
The greatest common factor: 20x^6y 40x^4y^2 10x^5y^5 is 10x^4y.
20x^6y = 10x^4y*2x^2
40x^4y^2 = 10x^4y*4y
10x^5y^5 = 10x^4y*y^4


8 0
3 years ago
Other questions:
  • NEED HELP PLEASE ASAP Given: AEDFG AABF
    11·1 answer
  • Which are polynomials
    11·1 answer
  • Simplify the polynomial expresion : (5x^2 - 7x +10) +(7x^2 - 11) +(-x^2 +7x- 2)​
    8·1 answer
  • College Algebra
    10·1 answer
  • An ice cream shop sold 48 vanilla milkshakes in a day , which was 40% of the total number of milkshakes sold that day. What was
    10·1 answer
  • ∠A=8x+6 ∘ start color #11accd, angle, A, end color #11accd, equals, start color #11accd, 8, x, plus, 6, degrees, end color #11ac
    13·2 answers
  • Plz help will give brainliest
    6·1 answer
  • Determine if the two triangles are congruent. If they are, state how you know.
    13·1 answer
  • Please help I’ll mark some brainlest
    13·1 answer
  • Last question! please help this is due today!!!
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!