a number is chosen at random from the numbers:1 to 20. Find the probability that the number chosen is a multiple of 2 and a multiple of 5.
2/20 = 1/10
To find the probability that a number chosen at random from the numbers 1 to 20 is both a multiple of 2 and a multiple of 5, we need to determine the number of favorable outcomes and the total number of possible outcomes.
First, let's figure out the favorable outcomes. A number that is both a multiple of 2 and a multiple of 5 is a number that is divisible by 10, which means it ends in a 0. From 1 to 20, there is only 1 number that satisfies this condition, and that is 10.
Next, let's determine the total number of possible outcomes. We are choosing a number at random from the numbers 1 to 20, so there are 20 possible outcomes.
Therefore, the probability of choosing a number that is both a multiple of 2 and a multiple of 5 is:
(Number of favorable outcomes) / (Total number of possible outcomes)
1 / 20
Hence, the probability is 1/20.