Answer
a. $0.142$
b. $0.312$
c. $0.261$
Work Step by Step
Total number is 23 marbles.
a. The probability that the first marble is red and the second is white
$p=\frac{9}{23}\times\frac{8}{22}=0.142$
b. The probability that both are the same color
P(red)=$\frac{9}{23}\times\frac{8}{22}=0.142$
P(white)=$\frac{8}{23}\times\frac{7}{22}=0.111$
P(blue)=$\frac{6}{23}\times\frac{5}{22}=0.059$
Total $p=0.142+0.111+0.059=0.312$
c. The probability that the second marble is blue
First is not blue: $p=\frac{17}{23}\times\frac{6}{22}=0.202$
First is blue $p=\frac{6}{23}\times\frac{5}{22}=0.059$
Total $p=0.202+0.059=0.261$
