A probability experiment consists of rolling a fair 15-sided die. Find the probability of the event below.rolling a number divisible by 5The probability is a(Type an integer or decimal rounded to three decimal places as needed.)



Answer :

Since the dice is a fair one we know that we have the same probability for each side to come up. That means that each number has a probability of 1/15 to appear.

Now we need to find the probability of finding a number that is divisible by 5. The numbers in the dice are 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15. The numbers that are divisible by 5 are 5,10 and 15. Then the probability we are looking for is the sum of each probability, then we have:

[tex]P=\frac{1}{15}+\frac{1}{15}+\frac{1}{15}=\frac{3}{15}=\frac{1}{5}=0.2[/tex]

Therefore the probability is 0.2.