A spinner with 15 equal parts is spun one time what is the probability that the result is a multiple of 6 or 4
1/15
how many multiples of 4 or 6 are there? 4,6,8,12
so probability = 4/15
To find the probability of spinning a multiple of 6 or 4 on a spinner with 15 equal parts, we need to determine how many outcomes are considered successful and divide it by the total number of possible outcomes.
Step 1: Determine the number of successful outcomes
A multiple of 6 or 4 can be any number that is divisible by either 6 or 4. Let's determine all the possible outcomes that satisfy this condition on a spinner with 15 equal parts.
Multiples of 6: 6, 12
Multiples of 4: 4, 8, 12
So, there are 4 successful outcomes: 6, 8, 12, and 14.
Step 2: Determine the total number of possible outcomes
The spinner has 15 equal parts, so there are 15 possible outcomes.
Step 3: Calculate the probability
The probability of spinning a multiple of 6 or 4 is the number of successful outcomes divided by the total number of possible outcomes.
Probability = Number of successful outcomes / Total number of possible outcomes
Probability = 4 / 15
Therefore, the probability of spinning a multiple of 6 or 4 on the spinner is 4/15.
To find the probability that the result is a multiple of 6 or 4, we first need to determine how many favorable outcomes there are (i.e., the number of desirable results) and divide it by the total number of possible outcomes.
The multiples of 6 in the given spinner are 6 and 12, while the multiples of 4 are 4, 8, and 12. Since the number 12 is common to both sets, we only count it once.
Therefore, the favorable outcomes are 4, 6, 8, and 12, which means there are a total of 4 favorable outcomes.
The spinner has 15 equal parts, so there are 15 possible outcomes.
Now, to find the probability, we divide the number of favorable outcomes by the total number of possible outcomes:
Probability = (Number of favorable outcomes) / (Total number of possible outcomes)
= 4 / 15
So, the probability that the result is a multiple of 6 or 4 is 4/15, or approximately 0.267 (rounded to three decimal places).