Question

on your next turn in the game, you are 8 spaces away from climbing a ladder, which will allow you to pass both alex and jeff. what is the probability of landing on the ladder if you roll 2 number cubes?

Explanation:

Step1: Find total number of outcomes

When rolling 2 number - cubes, each cube has 6 possible outcomes. So the total number of outcomes when rolling 2 cubes is \(6\times6 = 36\) according to the multiplication principle.

Step2: Find number of favorable outcomes

The pairs of numbers on the two cubes that sum to 8 are: \((2,6)\), \((3,5)\), \((4,4)\), \((5,3)\), \((6,2)\). So there are 5 favorable outcomes.

Step3: Calculate probability

The probability \(P\) of an event is given by the formula \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). So \(P = \frac{5}{36}\).

Answer:

\(\frac{5}{36}\)