A standard deck of 52 playing cards has 4 suits. They are clubs, diamonds, spades , and hearts . The deck also has 13 different ranks. They are Ace (A), 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack (J), Queen (Q), and King (K). Johnny draws 5 cards from a standard deck of 52 cards. If the cards are well shuffled, what is the probability of Johnny drawing 5 cards where 3 are one rank and 2 are another rank? (example: a 5 of clubs, a 5 of spades, a 5 of diamonds, a King of hearts, and a King of diamonds)
A. 1/108,290
B. 1/16,660
C. 1/199,920
D. 6/4,165

(a) the volume of the cone is 20/3 in3

hence, option a is correct.

system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.