The expected number of cards from the card deck that will be strictly between the two jokers is 
.
<h3>What is
card deck?</h3>
The most popular deck of cards used today is a normal 52-card deck of French-suited playing cards. [a] It is the only standard pack[b] used for playing cards in English-speaking nations; but, in many other nations throughout the world, it is used alongside other traditional, frequently older, standard packs with various suit systems, like those with German-, Italian-, Spanish-, or Swiss suits. The English pattern pack is the only one widely accessible in Britain and America and the most popular pattern of French-suited cards globally. The Belgian-Genoese pattern, which was created in France but is also used widely in Spain, Italy, the Ottoman Empire, the Balkans, and much of North Africa and the Middle East, is the second most popular.
Let all pairs of the positions (m,n) of the jokers are equally likely
![P[0]=P[|m-n|=1]=\frac{53}{\left(\begin{array}{c}54 \\2\end{array}\right)}=\frac{2}{27}](https://tex.z-dn.net/?f=P%5B0%5D%3DP%5B%7Cm-n%7C%3D1%5D%3D%5Cfrac%7B53%7D%7B%5Cleft%28%5Cbegin%7Barray%7D%7Bc%7D54%20%5C%5C2%5Cend%7Barray%7D%5Cright%29%7D%3D%5Cfrac%7B2%7D%7B27%7D)
![P[1]=P[|m-n|=2]=\frac{52}{\left(\begin{array}{c}54 \\2\end{array}\right)}=\frac{104}{1431}](https://tex.z-dn.net/?f=P%5B1%5D%3DP%5B%7Cm-n%7C%3D2%5D%3D%5Cfrac%7B52%7D%7B%5Cleft%28%5Cbegin%7Barray%7D%7Bc%7D54%20%5C%5C2%5Cend%7Barray%7D%5Cright%29%7D%3D%5Cfrac%7B104%7D%7B1431%7D)
![P[k]=P|m-n|=k+1=\frac{54-k-1}{\left(\begin{array}{c}54 \\2\end{array}\right)}](https://tex.z-dn.net/?f=P%5Bk%5D%3DP%7Cm-n%7C%3Dk%2B1%3D%5Cfrac%7B54-k-1%7D%7B%5Cleft%28%5Cbegin%7Barray%7D%7Bc%7D54%20%5C%5C2%5Cend%7Barray%7D%5Cright%29%7D)
the expected value will be
Therefore, the expected number of cards that will be strictly between the two jokers is .
To learn more about card deck from the given link:
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Answer:
Step-by-step explanation:
xy = 300
x + y = 50 Solve for y
y = 50 - x substitute into xy = 300
x(50 - x) = 300 Remove the brackets.
50x - x^2 = 300 Bring the left to the right.
0 = x^2 - 50x + 300
This is a quadratic. It will have 2 solutions.
a=1
b = - 50
c = 300
Put these into the quadratic equation.
It turns out that x has two values -- both plus
x1 = 42.03
x2 = 6.97
x1 + y1 = 50
42.03 + y = 50
y = 50 - 42.03
y = 7,97
(42.03 , 7.97)
====================
x2 + y2 = 50
6.97 + y2 = 50
y2 = 50 - 6.97
y2 = 43.03
(6.97 , 43.03)
The correct answer for this question is this one: "C).a unique,acute triangle"
The statement that best describes a triangle with side lengths of 6 inches 8 inches and 9 inches is that it is <u>a unique,acute triangle</u><span>
Hope this helps answer your question and have a nice day ahead.
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Correct answer is C there are no solutions since the X gets cancelled out and 7 does not equal 8, so the answer is C
0≤x≤2 The lowest you can go without being negative is 0, and the highest you can get without x being equivalent to 14 is 2.
