Question

Mark has a six-sided number cube. Each side is numbered from 1 to 6. What is the probability, expressed as a ratio, that Mark will roll a 3?

Answer 1

Answer:  The probability of rolling a 3 is $\dfrac{1}{6}.$

Step-by-step explanation:  Given that Mark has a six-sided number cube, where each side is numbered from 1 to 6.

We are to find the probability that Mark will roll a 3.

Let, 'A' be the event that Mark will roll a 3.

Then, A = {3}  ⇒  n(A) = 1.

Let 'S' be the sample space space for the event.

Then, S = {1, 2, 3, 4, 5, 6}  ⇒  n(S) = 6.

Therefore, the probability that Mark will roll a 3 is given by

$P(A)=\dfrac{n(A)}{n(S)}=\dfrac{1}{6}.$

Thus, the required probability is $\dfrac{1}{6}.$

Answer 2

3 is on the cube only 1 time so 1 out of 6 or 1/6