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FrozenT [24]
3 years ago
6

In their never-ending quest to siphon the money from your wallet, the carnival operators have come up with a new game: Super-Meg

a-Chuck-A-Luck! Here you roll seven dice, with payoffs as follows: A grand prize of $5,000 if you roll seven of a kind $500 if you roll six of a kind $50 if you roll five of a kind What is the expected value of Super-Mega-Chuck-A-Luck?
Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
6 0

Answer:

The expected value is $0.035

Step-by-step explanation:

expected of outcome for each dice = 1,

each dice has 6 sides ⇒ total number of possible outcome per dice = 6

seven of a kind = $5,000, six of a kind = $500, five of a kind = $50

Probability = (expected outcome ÷ total number of possible outcome) ^ number of dice

Pr = (\frac{E)}{T}^{n}

seven of a kind ⇒ all 7 dice have the same number

Pr (seven of a kind) = (\frac{1}{6})^{7} = 0.00000357

six of a kind ⇒ all 6 dice have the same number

Pr (six of a kind) = (\frac{1}{6})^{6} = 0.0000214

five of a kind ⇒ all 5 dice have the same number

Pr (five of a kind) = (\frac{1}{6})^{5} = 0.000129

EV = ∑P(X_{i}) *

EV = 5,000 * 0.00000357 + 500 * 0.0000214 + 50 * 0.000129

EV = 0.01785 + 0.0107 + 0.00645

EV = $0.035

The chances of winning is less than 1%. This is a very bad risk to take, do not let the carnival operators siphon the money in your wallet

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Lucy borrowed the most books in August (19 is the highest number in the graph.) There are 6 months in which she borrowed fewer than 10 books (February, May, June, July, November, December.)
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2 years ago
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Natalia needs 9 apples to make her famous apple pie. Natalia 25 apples. Naomi surprised her with a basket of 11 apples. How many
pychu [463]

Answer:

4

Step-by-step explanation:

25+11 because u have 25 an u get 11 more so that's 36 total

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4 0
3 years ago
Suppose that 80% of all registered California voters favor banning the release of information from exit polls in presidential el
natulia [17]

Answer:

a. Mean = 20

Sd = 4

b. Probability of X = 20 = 0.1960

Step-by-step explanation:

we have

n = 25

p = 80% = 0.8

mean = np

= 0.8 * 25

= 20

standard deviation = √np(1-p)

= √25*0.8(1-0.8)

=√4

= 2

probability that exactly 20 favours ban

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6 0
3 years ago
Help! Can anyone help? I’ve been stuck.. I’ll make sure to give Brainly. The answer is not 3,850. Thank you.
erik [133]

9514 1404 393

Answer:

  $3400

Step-by-step explanation:

The way these tax tables are structured, you pay 3% on the first $10,000, 5% on the next $40,000, and 5.5% on the remaining $20,000 above $50,000.

tax = 0.03·10,000 +0.05·(50,000 -10,000) +0.055·(70,000 -50000)

  = 300 + 2000 +1100

  = 3400 . . . dollars

The tax owed on $70,000 is $3,400.

_____

<em>Additional comment</em>

I like to rewrite this sort of table to a different format:

  • 3% of income . . . . . . . . . . . . . . . applies for income ≤ 10,000
  • (5% of income) -$200 . . . . . . . . applies for 10,000 < income ≤ 50,000
  • (5.5% of income) -$450 . . . . . . .applies for 50,000 < income ≤ 100,000

For an income of $70,000, the tax computation using this form is one multiplication and one addition, rather than 3 multiplications and 4 additions as used when navigating the given table.

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3 years ago
Add the fractions:<br> 1/3 + 1/5 =
MrRissso [65]

Answer:

8/15

Step-by-step explanation:

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2 years ago
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