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
cricket20 [7]
3 years ago
14

A flush in the card game of poker occurs if a player gets five cards that are all the same suit​ (clubs, diamonds,​ hearts, or​

spades). Complete parts​ (a) and​ (b) to obtain the probability of being dealt a flush in five cards. ​(a) Initially concentrate on one​ suit, say spades. There are 13 spades in a deck. Compute​ P(five spades​)equals​P(first card is spades and second card is spades and third card is spades and fourth card is spades and fifth card is spades​). ​P(five spades​)equals nothing
Mathematics
1 answer:
Artyom0805 [142]3 years ago
7 0

Answer:

The probability is 0.000495

Step-by-step explanation:

As per the question:

Total no. of cards in a deck = 52

No. of spades in a deck = 13

Now, we have to select 5 cards in a deck such that they belong to the same suit, i.e., spades.

The no. of ways of selecting 5 cards from a deck = ^{52}C_{5} = \frac{52!}{5!(52 - 5)!} = \frac{52!}{5!47!}

The no. of ways of selecting 5 cards from 13 spade cards = ^{13}C_{5} = \frac{13!}{5!(13 - 5)!} = \frac{13!}{5!8!}

Now,

Probability that the selected 5 cards are all spades, P(E)  = \frac{No.\ of\ ways\ of\ selecting\ 5\ cards\ from\ 13\ spade\ cards}{No.\ of\ ways\ of\ selecting\ 5\ cards\ from\ a\ deck}

P(E)  = \frac{^{13}C_{5}}{^{52}C_{5}}

P(E)  = \frac{\frac{13!}{5!8!}}{\frac{52!}{5!52!}}

P(E)  = \frac{\frac{13\times 12\times 11\tiems 10\times 9}{5\times 4\times 3\times 2\times 1}}{\frac{52\times 51\times 50\times 49\times 48}{5\times 4\times 3\times 2\times 1}}

P(E)  = \frac{13\times 12\times 11\tiems 10\times 9}{52\times 51\times 50\times 49\times 48} = 4.95\times 10^{- 4} = 0.000495

You might be interested in
What is the greatest common factor (GCF) of the numerator and denominator in the rational expression below? 6x-18/x^2-5x+6
brilliants [131]

Numerator 6x - 18 = 6(x - 3)

Denominator x^2 - 5x + 6 = (x - 3)( x - 2)

8 0
3 years ago
Read 2 more answers
Please help me with these questions and show how u got them, i will mark you brainliest !
lianna [129]

Answer: 1) 25b   2) ac   3)ba

1) Since b is unknown, your answer will be 25b

2) Since both variables, a and c, are unknown, your answer will be ac

3) Since both are unknown here, it will be ba!

4 0
3 years ago
HELPPPPPPPPPPPPPPPPPPPP
Gnesinka [82]
A.
the y intercept is where x=0
x represents the number of months
when the number of months is 0, that is the initial number of games won

that looks to be a little below y=2, so maybe y=1.8?
the y intercept is y≈1.8
it represents the number of games won with 0 months of practice



B.
we can use y=mx+b
m=slope
b=y intercept
we know the y intercept
find the slope
slope=rise/run
the I'm going from x=0 to x=10
the rise is about 18.95 (from 1.8 to 20.75)
the run is 10
so slope would be 18.95/10=1.895

the equation would be y=1.895x+1.8
the points were (0,1.8) and (10,20.75)
6 0
3 years ago
What is the linear equation in standard form: 3x = -5y + 7
Licemer1 [7]

Answer:

<em><u>3x + 5y = 7</u></em>

Step-by-step explanation:

4 0
3 years ago
Sarah is making flower bouquets that she will put in 10 vases. She will put 15 roses and some lilies in each vase.
AnnyKZ [126]
A is correct because the f represents the lilies and then you add the 15 because that is how much roses there are going to be. Lastly just multiply the ten that will give you the answer
3 0
3 years ago
Other questions:
  • Three different golfers played a different number of holes today. Rory played 999 holes and had a total of 424242 strokes. Alici
    13·1 answer
  • Really really need this answer. Please help!
    9·1 answer
  • Convert the 15 in binary system <br>​
    5·1 answer
  • 28=8x+12-7x<br><br> How do u solve this?
    6·2 answers
  • Find the area of the rectangle 12ft by 9ft
    7·1 answer
  • What is the value of y in the equation 6.4x +2.8=44.4 , when x=3 ?<br><br> y=
    10·1 answer
  • A banker earns a $75,000 annual salary, a 2,35% commission on any approved loans for the bank’s business customers, and a fee of
    11·1 answer
  • Guys tomorrow my friend is telling my crush I like him and since it's Valentine's makes sense but the thing is how do I know if
    12·2 answers
  • The lowest temperature ever recorded in the United States was -62 degrees Celsius, in Prospect Creek Camp, Alaska. The average t
    10·1 answer
  • Help look at screenshot
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!