A box contains 3 red marbles and 3 yellow marbles. Consider the two–stage experiment of randomly selecting a marble from a box, replacing it, and then selecting a second marble. Determine the probabilities of the following events: a. Selecting 2 red marbles.

P (red) =

b. Selecting a red marble on the first draw and a yellow marble on the second.

P (red then yellow) =

c. Selecting at least 1 yellow marble.

P (at least 1 yellow) =

3

step-by-step explanation:

divide 13.5 by 9 to get the scale factor. it equals 1.5

2 * 1.5 = 3

x^2 + 81

we can factor this using difference of square binomials.

rewrite the equation:

x^2 - (-81)

factor:

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

(x^2 - (-81) = (x + √-81)(x - √-81)

we can remove the - from under the radical by multiplying it by i.

(x^2 - (-81) = (x + i√81)(x - i√81)

(x^2 - (-81) = (x + 9i)(x - 9i)

we can check our answer by using foil:

x^2 - 9ix + 9ix - 81i^2

x^2 - 81^2

i^2 = -1

x^2 + 81