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zysi [14]
3 years ago
12

A casino offers a game in which a player places a $3 bet on a 3 coming up on one roll of a six-sided die. If a 3 is rolled, the

player keeps their $3 and is paid $12 by the house. If a number other than 3 is rolled, the house keeps the player's $3. What is the expected value of this game to the player?
Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
3 0

Answer:

Expected Value = -1$

Step-by-step explanation:

Expected Value: So, expected value is the very important concept of probability, from insurance to governments, from casinos to lotteries the concept of expected value is used. It is basically the expected gain or loss when you perform the task repeatedly.

So here’s the question statement:

Bet = 3$  

Bet is on: Number 3 of a 6 faced dice.

Total numbers on dice = 6 = Total number of outcomes

Bet is on how many numbers = 1 = Number of Favorable outcomes.

If you win: you will get:     12$ = 3$ (Bet amount) + 9$ (outcome)

Outcome of winning = 9$

Probability of winning = Favorable outcome divided by Total number of outcomes = 1/6 = 0.16666..

If you lose you will lose:   3$ (Bet amount)

Outcome of losing = -3$ ( - “minus” represents losing)

Probability of losing = Favorable outcome divided by Total number of outcomes = 5/6 = 0.8333…

So, expected value is calculated when you play this game repeatedly right?

Formula to calculate Expected Value:

Expected Value = (Outcome of Winning) x (Probability of Winning) + (Outcome of Losing) x (Probability of Losing)

So, we have all these variables. Now just put values into the equation of expected value.  

Expected Value =  (9$) x (1/6) + (-3$) x (5/6)

Expected Value = -1$  

It means, every time you play the game you are expected to lose 1$.

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Shtirlitz [24]

Answer:

(7v²-3)(v-4)

Step-by-step explanation:

Rewrite the expression by factoring out (v-4).

7v²(v - 4) – 3(v-4)

Since (v-4) is common to both terms, we only pick one of it to have a factored form:

(7v²-3)(v-4)

The new expression will be (7v²-3)(v-4)

6 0
2 years ago
Will give brainliest!!
marin [14]

the answer its 12.5% i swer its ok and hope helps you

3 0
3 years ago
6/5 ÷ ____ = 6<br><br> A. 1/5<br> B. 30 <br> C. 1/30<br> D. 5
murzikaleks [220]

Answer:

A. \displaystyle \frac{1}{5}

Step-by-step explanation:

\displaystyle \frac{6}{5} \div \frac{1}{5} = 6 \\ \\ OR \\ \\ \frac{6}{5} \div 6 = \frac{1}{5}

I am joyous to assist you anytime.

4 0
3 years ago
Write the expression in expanded form that is equivalent to 3(7d +4e)
pickupchik [31]

Answer:

21+4

Step-by-step explanation:

3 times 7=21

3 times4=12

21d+4e

4 0
2 years ago
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Maybe you have considered buying a term life insurance policy. The expected value of any term life insurance product yields a po
Law Incorporation [45]

Answer:

Yes one should consider to buy the policy as important to have insured plan that help at the time of need.

Step-by-step explanation:

  • Term of life insurance is a form of life insurance which guarantees the payment of the stated death benefit. If the person des during the plan the term expires.  
  • The policy has no value other than guarantee benefits. The term life insurance will make products by selling products and thus it's necessary to have insurance. Health, age, and life expectancy are some of the points that need to consider for buying plans.
8 0
2 years ago
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