Question

N 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 a multiple of 3or a multiple of 4.

The probability that the number drawn is a multiple of 3 or a multiple of 4 is

Answer 1

The probability that the number drawn is a multiple of 3 or a multiple of 4 is 0.52.

Step-by-step explanation:

To find the probability that the number drawn is a multiple of 3 or a multiple of 4, we need to first determine the total number of multiples of 3 or 4 between 1 and 25. Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24. Multiples of 4: 4, 8, 12, 16, 20, 24. There are 8 multiples of 3 and 6 multiples of 4. However, the number 12 appears in both lists, so we need to subtract it once. Therefore, the total number of multiples of 3 or 4 is 8 + 6 - 1 = 13.

Next, we need to determine the total number of balls in the container, which is 25.

Finally, we can calculate the probability by dividing the total number of desirable outcomes (multiples of 3 or 4) by the total number of possible outcomes (total number of balls): 13/25 = 0.52. So, the probability that the number drawn is a multiple of 3 or a multiple of 4 is 0.52.