Question

You roll a 6-sided die.

What is P(not divisor of 6)?
Write your answer as a fraction or whole number.

Answer 1

1/3

Explanation:

The notation P(x) is used to describe the probability of event x occurring.

Divisors

Before we can do the probability question, we need to find the divisors of 6. Divisors are numbers that can evenly divide another number. The factors and divisors of a number are the same. So, 6 has 4 divisors:

• 1, 2, 3, and 6

All of these values are on a 6-sided dice. So, in this probability question, there are 4 unsuccessful outcomes.

Probability

The probability of a simple event is the number of successful outcomes divided by the number of possible outcomes. In this situation, there are 6 possible outcomes, each side of the dice. Four of these outcomes do not satisfy the given condition (not a divisor of 6). Thus, there are 2 successful outcomes.

• 
  `(2)/(6) =(1)/(3)`

The probability of rolling a number that is not a divisor of 6 is 1/3.