Question

In a game the player wins if he rolls a 6 on a number cube. If the number cube is rolled 18 times, then what is a reasonable prediction for the number of unsuccessful rolls? Show work

Answer 1

If the number cube is rolled 18 times, then the number of unsuccessful rolls = 90 unsuccessful rolls.

Explanation:

step 1: A cube has six faces and each face is numbered from 1 to 6.

step 2: The win in the game requires the number 6, when a cube is rolled.

step 3: On rolling a cube, the outcomes are (1,2,3,4,5, and 6).

step 4: Out of these outcomes, 5 are unsuccessful rolls (1,2,3,4,5) and 1 is a successful roll (6).

step 5: If the cube is rolled 18 times,

then the number of unsuccessful rolls = 18 * 5 unsuccessful rolls

= 90 unsuccessful rolls.