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
forsale [732]
3 years ago
8

Suppose that you and a friend are playing cards and decide to make a bet. If you draw three face cards, where a face card is a J

ack, a Queen, or a King, in succession from a standard deck of 52 cards without replacement, you win $40. Otherwise, you pay your friend $10. What is the expected value of your bet? Round your answer to the nearest cent, if necessary.
Mathematics
1 answer:
Nataly_w [17]3 years ago
3 0

Answer:

Step-by-step explanation:

Expected value of the bet =

<h3>P(you make the correct draw) * 40 + P(you do not make the correct draw) * (-10) = </h3>

(4/52)(4/51)(4/50) * 40 + (1 - (4/52)(4/51)(4/50)) * (-10) =

(64/132600) * 40 + (1 - 64/132600) *(-10) =

64/3315 + (132536/132600) * (-10) =

64/3315 - (132536/13260) =

64/3315 - 33134/3315 =

-33070/3315 =

-9.97586726998 =

-$9.98, rounded to the nearest cent  

(i.e., the expected value of the bet is a loss of $9.98)

You might be interested in
How do you solve 7/8+(4/8-2/4)
SCORPION-xisa [38]
The answer is 7/8 find a common denominator or cross multiply
4 0
2 years ago
What to do if -/7 appears in a math problem
Brrunno [24]
-/7? imagine that there is an -1 as the numerator. so now -/7 turns into -1/7
5 0
3 years ago
Bertha buys electricity from a company that offers a choice of two tariffs. Both have a daily charge of $0.20 regardless of how
Alenkasestr [34]

Answer: D ( 17/20)

Step-by-step explanation:

The two choices are:

The ‘standard’ tariff charges = $0.10 per unit

The ‘day/night tariff’ = $0.12 per unit for each unit consumed between 06:00 and 22:00 but only $0.05 for each unit consumed between 22:00 and 06:00

The day time is between 22:00 and 06:00

Time = 22 - 6 = 16 hours

Let assume that the charges are unit per hour.

For standard tariff = (16 × 0.10) + 0.2

Standard tariff = 1.6 + 0.2 = 1.8

For day/night = (16 × 0.12) + 0.2

= 1.92 + 0.2

= 2.12

The proportion will be

1.8/2.12 = 17/20 ( approximately)

6 0
4 years ago
Camille is attending a fundraiser. She pays for her admission and buys raffle tickets for $5 each. If she buys 10 raffle tickets
Anna007 [38]
To spend a total of $135, Camille would have bought 27 tickets at $5 each.
7 0
3 years ago
Read 2 more answers
URGENT
Mkey [24]
B 6hrs 40 minutes
30000 / 75 = 400
400 minutes put into hours is 6 hours 40 minutes
4 0
2 years ago
Other questions:
  • michael spent 4,976 kuna on his trip. he exchanged the kuna he had left for u.s dollars. the exchange rate was 1 kuna to $0.17.
    5·1 answer
  • Combine like terms to simplify -1(2/7b + 9) -8
    5·1 answer
  • May currently has a balance of $1,817.43 on her credit card. If she must make a minimum monthly payment of 3.44% of her total ba
    14·2 answers
  • The area of a rectangle is 45.5 square inches. The base of the rectangle is 7 inches. What is the height of the rectangle in inc
    7·1 answer
  • Simplify 42-7-2-3-2-(1 point)<br> 218<br> -<br> 812<br> 68
    15·2 answers
  • Write an integer for each situation. 209 feet above sea level
    8·1 answer
  • What is the probability that a random point is chosen on the grid below in the shaded area?
    5·1 answer
  • Miranda is buying a pair of shoes that are on sale for 60% of the original
    14·1 answer
  • Find integers a, b, and c such that a) a | (b - c) but a - b and a - c b) a | (2b + 3c) but a - b and a - c
    12·1 answer
  • An equation of a line with a slope of - 2 and a y-intercept of 2.5 is a
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!