Question

you roll a 6 - sided die.
what is p(factor of 18)?
write your answer as a percentage rounded to the nearest tenth.
%

Explanation:

Step1: Find the factors of 18

The factors of 18 are 1, 2, 3, 6, 9, 18.

Step2: Determine the possible outcomes when rolling a 6 - sided die

The possible outcomes when rolling a 6 - sided die are 1, 2, 3, 4, 5, 6.

Step3: Find the number of favorable outcomes

The favorable outcomes (factors of 18 among 1 - 6) are 1, 2, 3, 6. So there are 4 favorable outcomes.

Step4: Calculate the probability

The probability formula is \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Here, the total number of outcomes \(n = 6\) and the number of favorable outcomes \(m=4\). So \(P=\frac{4}{6}=\frac{2}{3}\).

Step5: Convert the probability to a percentage

To convert \(\frac{2}{3}\) to a percentage, we use the formula \(P(\%)=\frac{2}{3}\times100\). \(\frac{2}{3}\times100=\frac{200}{3}\approx66.7\)

Answer:

66.7