Question

it is marcies first turn to roll. which ratio shows the theoretical probability that she will not land on a star space? 1/6 1/3 1/2 2/3

Explanation:

Step1: Count total spaces

Count all the spaces on the game - board. There are 12 spaces in total.

Step2: Count star - spaces

Count the number of star - spaces. There are 4 star - spaces.

Step3: Calculate non - star spaces

The number of non - star spaces is $12 - 4=8$.

Step4: Calculate probability

The probability of not landing on a star space is the number of non - star spaces divided by the total number of spaces, so $P=\frac{8}{12}=\frac{2}{3}$.

Answer:

$\frac{2}{3}$ (corresponding to the last option in the multiple - choice list)