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
choli [55]
3 years ago
11

Because gambling is a big​ business, calculating the odds of a gambler winning or losing in every game is crucial to the financi

al forecasting for a casino. Consider a slot machine that has three wheels that spin independently. Each has 13 equally likely​ symbols: 5 ​bars, 4 ​lemons, 3 ​cherries, and a bell. If you play​ once, what is the probability that you will​ get:
Mathematics
1 answer:
IRISSAK [1]3 years ago
5 0

Answer:

a) 0.1165

b) 0.0983

c) 0.000455

d) 0.787

e) 0.767

Step-by-step explanation:

5 ​bars, 4 ​lemons, 3 ​cherries, and a bell

Total = 5+4+3+1 = 13

The probability of getting a bar on a slot, P(Ba) = 5/13 = 0.385

A lemon, P(L) = 4/13 = 0.308

A cherry, P(C) = 3/13 = 0.231

A bell, P(Be) = 1/13 = 0.0769

a) Probability of getting 3 lemons = (4/13) × (4/13) × (4/13) = 256/2197 = 0.1165

b) Probability of getting no fruit symbol

On each slot, there are 4+3 = 7 fruit symbols.

Probability of getting a fruit symbol On a slot = 7/13

Probability of not getting a fruit symbol = 1 - (7/13) = 6/13 = 0.462

Probability of not getting a fruit symbol On the three slots = 0.462 × 0.462 × 0.462 = 0.0983

c) Probability of getting 3 bells, the jackpot = (1/13) × (1/13) × (1/13) = 1/2197 = 0.000455

d) Probability of not getting a bell on the 3 slots

Probability of not getting a bell on one slot = 1 - (1/13) = 12/13 = 0.923

Probability of not getting a bell on the 3 slots = (12/13) × (12/13) × (12/13) = 1728/2197 = 0.787

e) Probability of at least one bar is a sum of probabilities

Note that Probability of getting a bar = 5/13 and probability of not getting a bar = 8/13

1) Probability of getting 1 bar and other stuff on the 2 other slots (this can happen in 3 different orders) = 3 × (5/13)×(8/13)×(8/13) = 960/2197 = 0.437

2) Probability of getting 2 bars and other stuff on the remaining slot (this can also occur in 3 different orders) = 3 × (5/13)×(5/13)×(8/13) = 600/2197 = 0.273

3) Probability of getting 3 bars on the slots machine = (5/13) × (5/13) × (5/13) = 125/2197 = 0.0569

Probability of at least one bar = 0.437 + 0.273 + 0.0569 = 0.7669 = 0.767

You might be interested in
Please help me with this, thanks
Liono4ka [1.6K]
The answer is 0.40 or 0.4
5 0
3 years ago
Read 2 more answers
Draw an array for the equation 5+5+5=15
kicyunya [14]
•••••
•••••
•••••
I'm not for sure if this is what you meant though sorry
7 0
3 years ago
BRAINLIEST BRAINLIEST!!!! Easy mathhh
Arte-miy333 [17]

Answer:

sorry if image isn't clear, tried many shots

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
write in graphing form please! A parabola that opens down with no stretch factor that has a vertex of (-6,5)
wolverine [178]
If it has no stretch factor, then there will be no coefficient. Meaning this is a lot easier. So, we equation is

(x+6)^2 + 5

Hope this helps!
<span />
8 0
2 years ago
A tank full of water is leaking at a constant rate for 15 minutes. The equation
kupik [55]

Answer:

C. There were 500 liters in the tank when the leak started, and it is decreasing by 8 liters per minute.

Step-by-step explanation:

-8x is the rate of the leak and 500 is the initial value for water in the tank.

6 0
2 years ago
Other questions:
  • Compare your prediction with the total number of pennies on Row 1. How would you change your estimate? Is the result surprising?
    13·1 answer
  • Explain one way to add 3 digit numbers
    5·1 answer
  • The numbers on the bottom of a typical check represent all of the following EXCEPT?
    9·1 answer
  • 1 MP Reason There are 12,600 insects on display at the new
    11·1 answer
  • Help me which one is correct?
    7·2 answers
  • 1/2 ( x - 4 ) = 1/3 ( x + 2)<br><br> pls help me
    12·2 answers
  • Find the volume of the cone.
    14·1 answer
  • How can the figure below be changed so that it has exactly one lines of symmetry?
    14·2 answers
  • The graph of the linear function is shown on the coordinate grid. What is the equation of this line?​
    13·1 answer
  • Please help me. I don’t know the answer.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!