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olasank [31]
3 years ago
9

Jeremy Johnson’s statement balance is $523.11. He has two outstanding checks. One is for $32.10 and the other is for $198.33. Wh

at is Jeremy’s adjusted balance?
Mathematics
1 answer:
hichkok12 [17]3 years ago
4 0
We are asked to solve for the outstanding balance.

The given values are listed below:
Current balance = $523.11
First Outstanding check = $32.10
Second Outstanding check is $198.33

New balance = Current Balance - First outstanding check - second outstanding check
New Balance = $523.11 - $32.10 - $198.11
New Balance = $301.9
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Since , there are total 13 kinds of card (includes Numbers from 2 to 9 and Ace , king, queen and jack).

Of each kind , there are 4 cards.

Number of ways to select three cards in a five card hand of a single kind : ^{4}C_3\times^{48}C_2

Number of ways to select three cards in a five card hand of a exactly three of a kind : 13\times^{4}C_3\times^{48}C_2

Now , the required probability = \dfrac{13\times^{4}C_3\times^{48}C_2}{^{52}C_5}

=\dfrac{13\times4\times\dfrac{48!}{2!46!}}{\dfrac{52!}{5!47!}}\\\\\\=\dfrac{58656}{2598960}

=0.022569027611\approx0.02257

∴ The probability of being dealt exactly three of a kind (like three kings or three 7’s, etc.) in a five card hand from a deck of 52 cards= 0.02257

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