Two cards are drawn from a deck one after the other, without replacement of the first card. (a). Find the probability of drawing a 4 and then drawing a 5.
(b). Find the probability of drawing a 4 and then drawing another 4.
(c). Extend this idea to more than two cards. Find the probability of drawing a 4, drawing a 4,
and then drawing another 4 out of a deck without replacement.
(d). Four cards are drawn from a deck one after the other, without replacement. Find the
probability of drawing a club, drawing a club, drawing a heart, and drawing a diamond.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

let's fu(!

step-by-step explanation:

the rate of change is 25