Question

a bag contains 19 balls numbered 1 through 19. what is the probability of selecting a ball that has an even number? a 9 b \frac{9}{19} c \frac{19}{9} d \frac{2}{19} last saved 4:58:50 pm

Explanation:

Step1: Determine the number of favorable outcomes

The even - numbered balls from 1 to 19 are 2, 4, 6, 8, 10, 12, 14, 16, 18. So there are \(n = 9\) even - numbered balls.

Step2: Determine the total number of outcomes

The total number of balls is \(N=19\).

Step3: Calculate the probability

The probability \(P\) of an event is given by the formula \(P=\frac{n}{N}\). Substituting \(n = 9\) and \(N = 19\), we get \(P=\frac{9}{19}\).

Answer:

B. \(\frac{9}{19}\)