Marco is playing a game with a standard deck of cards. The first person to select a heart from the deck without looking wins. What is the theoretical probability that Marco will choose a card with a heart on it? A1/52 B1/4 C1/2
What is the theoretical probability that Marco will choose a card without a heart on it? A1/4 B1/2 3/4

What is the theoretical probability that Marco will choose a card with a heart on it?  It will be 1/4

What is the theoretical probability that Marco will choose a card without a heart on it?  the answer to this is 3/4

Step-by-step explanation:

could you provide figure.

hello from mrbilldoesmath!

answer:   (7x + 6y) ( 49x^2 - 42xy + 36y^2)

discussion:

in general, the factorization of a^3 + b^3 is

a^3 + b^ 3 = (a + b) ( a^2 - ab + b^2)

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

(7x + 6y) ( 49x^2 - 42xy + 36y^2)

you,

mrb

(a + b) (a^2 - a b + b^2)