## what is the probability of rolling a 6 sided die and getting a 1 or a prime number

Question

what is the probability of rolling a 6 sided die and getting a 1 or a prime number

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2 weeks 2021-10-11T19:35:04+00:00 2 Answers 0

P = 4 / 6 = 2/3 = 0.66 = 66%

Step-by-step explanation:

Assuming the die is numbered 1 to 6.

To answer the question, we first need to know many prime numbers can be represented on the die.  What are the prime numbers equal to 6 or lower?

We have 2, 3 and 5.  (since 4 and 6 are not prime numbers).  So we have 3 prime numbers, plus the number 1… so there are 4 possibilities valid for rolling a 1 or a prime number: 1,2,3 and 5.

4 possibilities out of 6 total possible outcomes, so…

P = 4 / 6 = 2/3 = 0.66 = 66%

The probability of rolling a 6 sided die and getting a 1 or a prime number = 2/3

Step-by-step explanation:

The numbers on the die are 1, 2, 3, 4, 5 and 6

To find the probability

Total outcomes of rolling a die = 6

Prime numbers less than 6 are 2, 3 and 5

Possible outcomes(getting 1 or a prime number) =  1, 2, 3 and 5

Probability of getting 1 or prime number when rolling a die = 4/6 = 2/3