A random number generator is used in a chance experiment.Students set the range of the generator from 1 to 100.What is the probability that the number generated is a multiple of 5?A. 15B. 25C. 110D. 1050
Question
A random number generator is used in a chance experiment.Students set the range of the generator from 1 to 100.What is the probability that the number generated is a multiple of 5?A. 15B. 25C. 110D. 1050
Solution 1
The first step is to determine how many multiples of 5 are between 1 and 100.
To do this, divide 100 by 5. The result is 20. This means there are 20 multiples of 5 between 1 and 100.
The second step is to calculate the total number of possible outcomes, which is 100 (since the range is from 1 to 100).
The probability of an event is calculated by dividing the number of favorable outcomes by the total number of outcomes.
So, the probability that the number generated is a multiple of 5 is 20/100 = 0.2 or 20%.
Therefore, none of the options A, B, C, D is correct. The correct answer should be 20%.
Solution 2
The multiples of 5 between 1 and 100 are 5, 10, 15, ..., up to 100. To find out how many there are, you can divide 100 by 5, which gives you 20.
So, there are 20 multiples of 5 between 1 and 100.
The probability of any one number being picked by the random number generator is 1 out of the total number of possibilities, which is 100 (since the range is from 1 to 100).
So, the probability of picking a multiple of 5 is the number of multiples of 5 (20) divided by the total number of possibilities (100).
20 divided by 100 equals 0.2, or 20%.
Therefore, the answer is not listed among the options A, B, C, or D. The correct answer should be 20%.
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