People at a carnival spend $5 to play a game that involves rolling a number cube each face of the number cube is labeled with a unique number from 1 to 6 A person wins a prize if they roll a number greater than 4

1 answer

In the carnival game you're describing, participants roll a standard six-sided number cube (often referred to as a die). The faces of the die are labeled with the numbers 1 through 6.

To determine the chances of winning a prize, we need to identify the winning outcomes. According to your description, a player wins a prize if they roll a number greater than 4. The numbers greater than 4 on a six-sided die are:

  • 5
  • 6

So there are 2 winning outcomes (rolling a 5 or rolling a 6). The total number of possible outcomes when rolling the die is 6 (since it has six faces).

To find the probability of winning a prize, we can calculate it as follows:

\[ \text{Probability of winning} = \frac{\text{Number of winning outcomes}}{\text{Total number of outcomes}} = \frac{2}{6} = \frac{1}{3} \]

This means that there is a 1 in 3 chance, or approximately 33.33%, of winning a prize when playing the game.

If you have any more questions about the game or need further assistance, feel free to ask!