Question

in a lottery game, a single ball is drawn at random from a container that contains 25 identical balls numbered from 1 through 25. find the probability that the number drawn is even or a multiple of 8.

the probability that the number drawn is even or a multiple of 8 is
(type an integer or a decimal.)

Explanation:

Step1: Count even numbers

Even numbers 1-25: 2,4,...,24 → 12 numbers

Step2: Count multiples of 8

Multiples of 8 1-25: 8,16,24 → 3 numbers

Step3: Find overlap

Overlap (even and multiple of 8): 8,16,24 → 3 numbers

Step4: Calculate favorable numbers

Favorable = Even + Multiples of 8 - Overlap = 12 + 3 - 3 = 12

Step5: Compute probability

Probability = $\frac{12}{25}$ = 0.48

Answer:

0.48