What is the probability of choosing a face card from a deck of playing cards?

23.07% is your probability of getting a face card from a normal deck.

Step-by-step explanation:

Face cards include King, Queen, and Jack, and there is one for each suit. A standard deck has 52 cards.

Note that there are 3 face cards per suit, and there are 4 suits in all. Multiply the two numbers together:

3 x 4 = 12

There are 12 suits in all.

Now, divide 12 from 52:

12/52 = 0.2307

Find the percentage. Move the decimal point to the right two place values, and put a percentage sign.

0.2307 = 23.07%

23.07% is your probability of getting a face card from a normal deck.

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(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0