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
ziro4ka [17]
2 years ago
13

How many ways can you choose the 5 cards out of a 52 card deck?

Mathematics
1 answer:
Naddika [18.5K]2 years ago
3 0


If you take all the possible 5 card draws, and multiply that by the probability all 5 cards are hearts, the result is all the possible 5 heart draws.

The number of ways to draw 5 cards from 52 is a combination...52C5. Remember the formula for combinations:

nCk = n! / (k! * (n-k)!. In this case n=52 and k=5:

52!/(5!*(52-5)!)= 52!/(5!*47!) = (52*51*50*49*48)/(5*4*3*2*1) = 2,598,960.

That's the total number of five-card combinations. But what is the probability that all five cards are hearts? There are 13 hearts in the deck of 52 cards.

P card 1 being a heart is 13/52.

<span>P card 2 being a heart (there are one less card and one less heart) is 12/51
</span>
<span>P card 3: 11/50

P card 4: 10/49

P card 5: 9/48
</span>

The probability of all five events is the product of their probabilities:

13/52 * 12/51 * 11/50 * 10/49 * 9/48 = 0.000495198079231693.

The number of combinations of five cards, times the probability of all five hearts, gives us the answer we want.

0.000495198079231693*2,598,960=1,287.

You might be interested in
If frys cost 3.24 money per pound at a gas station and I buy 3.5pounds how much money was I spent
Ivenika [448]

Answer:

Step-by-step explanation: it will be that you spend $11.34

Name me brainliest please

4 0
2 years ago
I need help on how to set this problem up and also how to solve it.
balu736 [363]

Answer:

It is the lenghth of awad because tall and skinny

4 0
3 years ago
Read 2 more answers
So in numeric form what is 700,000+40,000+9000+200 and +50
WARRIOR [948]

Answer: 749,250

Step-by-step explanation:

700,000 + 40,000= 740,000.

9,000+200+50= 9,250.

740,000 + 9,250 = 740,250.

4 0
3 years ago
Read 2 more answers
A glass vase is shaped like a cylinder and has a radius of 2.5 inches. The vase holds 170 cubic inches of water. How tall is the
Fynjy0 [20]

Answer: The answer would be 8.66 when rounded to the nearest hundredth.

Step-by-step explanation:

7 0
3 years ago
Determine the direction that this parabola opens y=4x^2+8x+2
just olya [345]
For this case we have a quadratic equation of the form:
 ax ^ 2 + bx + c&#10;
 What we must keep in mind to know which direction opens the parabola, is the value of a.
 We have two options:
 If a <0 the parabola opens down
 If a> 0 the parabola opens up
 We have the following equation:
 y = 4x ^ 2 + 8x + 2&#10;
 We observed that:
 a = 4 (a\ \textgreater \  0)&#10;
 Therefore, the parable opens up.
 Answer:
 
the direction that this parabola opens is:
 
Upwards
8 0
3 years ago
Other questions:
  • What's 900 thousands in tens
    12·1 answer
  • Samantha wants to use her savings of $1150 to buy shirts and watches for her family. The total price of the shirts she bought wa
    11·1 answer
  • How many solutions does this have? 2x = 2x - 9<br> A. No<br> B. One<br> C. Two<br> D. Infinity
    12·2 answers
  • jana has 3 banana muffins, 3 poppy seed muffins, 3 spice muffins and 3 blurry muffins she put 1/2 of the muffins on a late how m
    5·1 answer
  • A figure is triangular in shape and is semicircular at the bottom. find perimeter and area of figure
    9·1 answer
  • Find the value of k so that the solution set for the following equation is -7.
    10·2 answers
  • PLS HELP
    13·2 answers
  • PLEASE HELP!!! <br> WHICH OF THE FOLLOWING FUNCTIONS IS GRAPHED BELOW?
    13·1 answer
  • Find the sum of all natural numbers between 25 and 210 which are either divisible by 3 or divisible by 4? Please let me know ​I
    10·1 answer
  • Which of the following sentences correctly keeps a consistent verb tense?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!