There is a spinner with 15 equal area numbered 1 through 15. If the spinner is spun one time, what is the probability that the result is a multiple of 2 and a multiple of 5
The multiples of 2 and 5 are 10 and 2 multiples of 10 that are less than 15, namely 10 and 5. Therefore, there are two possible outcomes that satisfy the condition. Since there are 15 equally likely outcomes in total, the probability of getting a multiple of 2 and a multiple of 5 is 2/15 or approximately 0.133.
To find the probability of spinning a number that is both a multiple of 2 and a multiple of 5 on the spinner, we need to determine the numbers that satisfy this condition.
Step 1: Identify the numbers that are multiples of 2:
2, 4, 6, 8, 10, 12, 14
Step 2: Identify the numbers that are multiples of 5:
5, 10, 15
Step 3: Find the numbers that are both multiples of 2 and multiples of 5:
10
Step 4: Calculate the probability by dividing the favorable outcomes by the total possible outcomes.
The favorable outcome is 1 (number 10) and the total possible outcomes are 15.
Probability = Favorable outcomes / Total outcomes
Probability = 1/15
Therefore, the probability of spinning a number that is both a multiple of 2 and a multiple of 5 on the spinner is 1/15.