15 slips are numbered from 1-15 and placed in a hat. one slip is drawn at random, find the probability that the slip is divisible by 3.
5/15 = 1/3
To find the probability that a slip drawn at random from the hat is divisible by 3, we need to determine the number of slips that are divisible by 3 and divide it by the total number of slips.
Step 1: Find the number of slips that are divisible by 3.
Out of the numbers from 1 to 15, the slips that are divisible by 3 are: 3, 6, 9, 12, and 15. So, there are 5 slips divisible by 3.
Step 2: Find the total number of slips.
There are 15 slips in total.
Step 3: Calculate the probability.
The probability is equal to the number of favorable outcomes (slips divisible by 3) divided by the total number of outcomes (total number of slips).
Probability = Number of slips divisible by 3 / Total number of slips
Probability = 5 / 15
Probability = 1/3 or approximately 0.333
Therefore, the probability that the slip drawn at random is divisible by 3 is 1/3 or approximately 0.333.
To find the probability that a slip drawn randomly from the hat is divisible by 3, we need to determine the number of favorable outcomes (slips that are divisible by 3) and divide it by the total number of possible outcomes (all the slips).
Step 1: Count the favorable outcomes
In this case, we need to identify the slips that are divisible by 3. From 1 to 15, there are 5 numbers that are divisible by 3: 3, 6, 9, 12, and 15.
Step 2: Count the total number of possible outcomes
Since there are 15 slips in the hat, the total number of possible outcomes is 15.
Step 3: Calculate the probability
The probability of an event occurring is given by the number of favorable outcomes divided by the number of possible outcomes.
Number of favorable outcomes: 5
Number of possible outcomes: 15
Probability = Number of favorable outcomes / Number of possible outcomes
Probability = 5 / 15 = 1 / 3
Therefore, the probability that the slip drawn at random is divisible by 3 is 1/3.