There are five different colors of lollipops in a jar: 4 orange, 3 green, 4 red, 2 yellow, and 2 purple. Roberta draws out one lollipop, replaces it, and then draws out a second lollipop. What is the probability that she got a green lollipop and then a purple lollipop?
The choices are 1/3, 2/75, 1/5, 2/15.

2/75

Step-by-step explanation:

total lollipops = 4+3+4+2+2 = 15 lollipops

probability of first picking a green lollipop = no of green lollipops/ total no of lollipops

P(green) = 3/15 = 1/5

Probability of then picking a purple lollipop after replacing = no of purple lollipops/ total  no of lollipops

P(purple) = 2/15

probability of picking a green and then purple = P(Green) x P(Purple)

= 1/5 x 2/15 = 2/75

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!