A bag contains three red balls numbered 1, 2, 3 and six white balls numbered 4

A bag contains three red balls numbered 1, 2, 3 and six white balls numbered 4, 5, 6, 7, 8, 9. A ball is drawn. What is the probability that the ball is the following? (Enter your probabilities as fractions.)
(a) red and even-numbered
(b) red or even-numbered
(c) white or odd-numbered
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Step 1
A bag contains three red balls numbered 1,2,3 and six white balls numbered 4,5,6,7,8, and 9.
(a) The total number of balls is 9.
Find the probability of red and even numbered balls.
Set of red and even numbered balls $=2$.
$P=\frac{\text{Number of outcomes}}{\text{Total outcomes}}$
$P=\frac{1}{9}$
Step 2
(b) The total number of balls is 9.
Find the probability of red or even numbered balls.
Set of red or even numbered balls=1,2,3,4,6,8.
$P=\frac{\text{Number of outcomes}}{\text{Total outcomes}}$
$P=\frac{6}{9}$
$P=\frac{2}{3}$
Step 3
(c) The total number of balls is 9.
Find the probability of white or odd numbered balls.
Set of white or odd numbered balls=1,2,4,5,6,7,8,9.
$P=\frac{\text{Number of outcomes}}{\text{Total outcomes}}$
$P=\frac{8}{9}$