on your next turn in the game, you are 8 spaces away from climbing a ladder, which will allow you to pass…

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?

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?

Answer

Explanation:

Step1: Find total outcomes

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

Step2: Find favorable outcomes

The possible combinations of the numbers on the two number - 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:

$\frac{5}{36}$