samantha is going to roll a number cube, number cube, numbered 1 through 6, what is the probability she will roll a seven

1 answer

A standard number cube (or die) has six faces, numbered from 1 to 6. Since there is no face with the number 7, the probability of rolling a 7 is 0.

In probability terms, the probability \( P \) of an event happening is given by:

\[ P(\text{event}) = \frac{\text{number of favorable outcomes}}{\text{total number of possible outcomes}} \]

In this case:

  • Number of favorable outcomes (rolling a 7) = 0
  • Total number of possible outcomes (rolling any side of the die) = 6

Thus, the probability of rolling a 7 is:

\[ P(7) = \frac{0}{6} = 0 \]

So, the probability that Samantha will roll a 7 is 0.