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
Maksim231197 [3]
3 years ago
8

A game involves drawing a single card from a standard deck. One receives 60 cents for an ace, 30 cents for a king, and 5 cents f

or a red card that is neither an ace nor a king. If the cost of each draw is 10 cents, what is the expected value?
Mathematics
1 answer:
professor190 [17]3 years ago
7 0

Answer:

The expected game value is -1 cent

Step-by-step explanation:

Here, we want to calculate the expected value of the game

We have 4 aces and 4 kings, including 26 red cards

The number of aces is 4

Probability of drawing an ace is 4/52 = 1/13

Probability of drawing a king is also 4/52 = 1/13

There are 26 red cards

The number of red cards that are neither ace nor king

There are 2 red aces and 2 red kings

So the number of cards that are red but are not

aces nor kings are 26-2-2 = 22

The probability of selecting this is 22/52 = 11/26

So the expected value is simply the probability multiplied by the amount

Thus, we have;

(60 * 1/13) + (30 * 1/13) + (5 * 11/26)

= 60/13 + 30/13 + 55/26

= (120 + 60 + 55)/26 = 9.038 cents which is approximately 9 cents

we subtract this from the 10 cents we are playing with, thus we are left with 9-10 = -1 cent

You might be interested in
Write 25x10 the power of 6 in standard from
forsale [732]

Answer:

25 * 10^6

But 10^6 is the same as multiply 10 six times, that is, 10 * 10 * 10 * 10 * 10 * 10 * 10. The result is as simple as writing 1 and six zeros, that is, counting the number of zeros I can see. So, 10^6 = 1000000.

Now, 25 * 10^6 = 25 * 1000000

The final answer is 25000000

Step-by-step explanation:

3 0
2 years ago
Add up the answer first to see of these correct or incorrect, if incorrect explain why it is not equal.
Stells [14]

Answer:

1) incorrect

2) incorrect

Step-by-step explanation:

-2x-2x = 0 ?

-2x -2x = -4x

It will be 0 only if x = 0.

Not always true, so incorrect

x+x = x² ?

2x = x²

They will be equal if x = 0 or 2.

Not always true so incorrect

8 0
3 years ago
A survey of 125 households was done to investigate whether households have laptops, tablets, or
riadik2000 [5.3K]

Answer:

3) 0.326

Step-by-step explanation:

Total Number of surveyed households =125

We want to determine the probability that a randomly selected household would have a laptop given that it does not  have a tablet.

Written in Probability notation: P(Laptop|No Tablet)

P(Laptop|No Tablet)=\dfrac{P(L\cap T')}{P(T')} \\=\dfrac{31/125}{95/125}\\=\dfrac{31}{95}\\\\=0.326

The correct option is C,

4 0
3 years ago
What improper fraction goes with 1 and three fourths
Katyanochek1 [597]
7/4 because you times 4 and 1.then add 3 and you get 7 so 7/4
7 0
3 years ago
An angle is bisected, forming two new angles. if the original angle had a measure of 62°, what is the measure of each new angle?
s344n2d4d5 [400]
Bisected means cut in half. half of 62 is ,31
4 0
3 years ago
Other questions:
  • How to sketch the inequalities and how to shade them
    12·1 answer
  • Simplify (-a2b3)2(c2)0
    13·2 answers
  • Help ASAP!!!<br> Zoom in to read
    15·1 answer
  • The quotient of ten to the power and ten cubed
    9·1 answer
  • What is the answer to 2x^2 - 3x - 15 = 5
    14·1 answer
  • Solve for y. y = 2x +5 ; when x= 2.
    14·2 answers
  • What is the classification for this polynomial?
    7·1 answer
  • How many trades of Apple were made
    7·1 answer
  • Solve the equation 7x - 12 = 23<br> What is the answer
    13·2 answers
  • What is the volume of this figure?<br><br> Enter your answer in the box.<br><br> yd³
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!