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:
50.2 in^2
Step-by-step explanation:
Using the Formula
A=πr2
d=2r
Solving for A
A= 1/4 π d^2 = 1/4*π*8^2 = 50.26548
=50.2in^2
Answer:
By a quick online search, i found two tape diagrams:
13) You: -
Friend: - -
So you have one block, and your friend has two.
We know that you work for 3 hours, this means that your only block must represent 3 hours.
And all the blocks represent the same amount of time, then each one of the two blocks of your friend also represents 3 hours.
Then in total, he tutored for 3 hours + 3 hours = 6 hours.
14) You: -
Friend: - - - - -
In this case, you still have only one block, but now your friend has 5.
Using the same reasoning as above, we can conclude that each block represents 3 hours, and your friend has 5 of them, this means that he tutored for:
5*3 hours = 15 hours
Alright here I go:
9.98 * 10^6 in standard form is 9,980,000
7.3 * 10^7 in standard form is 73,000,000
73,000,000 subtracted by 9,980,000 is 63020000.
63020000 in scientific notation is 6.302 * 10^7
Hope I helped!
Answer:
it the 3rd one
Step-by-step explanation:
