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
umka2103 [35]
2 years ago
9

Find the probability of getting four consecutive aces when four cards are drawn without replacement from a standard deck of 52 p

laying cards.​
Mathematics
1 answer:
posledela2 years ago
3 0

Answer:

<em>P=0.0000037</em>

<em>P=0.00037%</em>

Step-by-step explanation:

<u>Probability</u>

A standard deck of 52 playing cards has 4 aces.

The probability of getting one of those aces is

\displaystyle \frac{4}{52}=\frac{1}{13}

Now we got an ace, there are 3 more aces out of 51 cards.

The probability of getting one of those aces is

\displaystyle \frac{3}{51}=\frac{1}{17}

Now we have 2 aces out of 50 cards.

The probability of getting one of those aces is

\displaystyle \frac{2}{50}=\frac{1}{25}

Finally, the probability of getting the remaining ace out of the 49 cards is:

\displaystyle \frac{1}{49}

The probability of getting the four consecutive aces is the product of the above-calculated probabilities:

\displaystyle P= \frac{1}{13}\cdot\frac{1}{17}\cdot\frac{1}{27}\cdot\frac{1}{49}

\displaystyle P= \frac{1}{270,725}

P=0.0000037

P=0.00037%

You might be interested in
Can you ask 5 people to name as much states in 60 seconds please?
Lyrx [107]

Answer:

Alabama, Alaska, American Samoa, Arizona, Arkansas.

California, Colorado, Connecticut.

Delaware, District of Columbia.

Florida.

Georgia, Guam.

Hawaii.

Idaho, Illinois, Indiana, Iowa.

Kansas, Kentucky.

4 0
3 years ago
1/5 and 5/6 <br> what number could be a common denominator for these two fractions:
Likurg_2 [28]
30 because 5x6= 30. All you have to do if the fractions are already simplified, is multiply the denominators together.
5 0
2 years ago
What is sas congruence?
GarryVolchara [31]
The SAS congruence is basically:
S- side
A- angle
S - side

If two triangles have two congruent sides and share one angle (or have one angle in between), then it (the triangles) are considered congruent.
8 0
3 years ago
Read 2 more answers
Compare the ratio of the longest side being 14 1/2 to shortest side 1 1/4 and turn it into a simplified fraction
marusya05 [52]
(14 1/2)/(1 1/4)  change both to improper fractions

(29/2)/(5/4)  invert second function (or the denominator fraction) and multiply.

(29/2)*(4/5)  multiply...

58/5 change improper fraction back to mixed fraction

11 3/5  or a decimal 11.6
4 0
2 years ago
Someone please help me find x
a_sh-v [17]
So for a tangent and a secant, you multiply x^2 (since it’s a tangent you square it) and test that equal to 6(6+12) so now you have x^2=6(6+12). solve for X to get sqrt(108) or 10.4

the equation is — tan^2=outside x whole thing

remember to ADD the entire secant (so add 6 plus 12) don’t multiply them (6x12)

x^2=6(6+12)
x^2=6(18) OR x^2=36+72
x^2=108
x=sqrt(108) OR x=10.4
4 0
2 years ago
Read 2 more answers
Other questions:
  • What is an equivalent fraction to 3/10
    11·2 answers
  • The following function represents the production cost f(x), in dollars, for x number of units produced by company 1:
    8·2 answers
  • What is 7*-8? my calculator wont work because I cant do problems with negative # on it.
    12·2 answers
  • A rectangular safe can hold 5184 cubic inches. Gold bars that are 3 inches by 6 inches by 2 inches fit to completely fill the sa
    6·1 answer
  • One advantage of solar and wind power over fossil fuels is that A) wind and solar are presently much less expensive than fossil
    14·2 answers
  • Can someone help me on this problem? Brainliest 5 stars and 15 points
    8·1 answer
  • Cos(x)&lt;.025<br> cos^2(x)&lt;.25<br> sin(x)&lt;.25<br> sin^2(x)&lt;.25 <br><br> PLZ HELP
    10·1 answer
  • What is an<br> equation of the line that passes through the points (-3, -1) and<br> (-6, 3)?
    5·1 answer
  • I need help on this lol
    5·2 answers
  • Todos os números pares​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!