which theoretical probabilities are equal to 1/3? check all that apply. rolling an even number on the first…

which theoretical probabilities are equal to 1/3? check all that apply. rolling an even number on the first roll landing on a star space on the first roll landing at cat town on the first roll not landing on a question mark or star on the first roll rolling a number greater than 4 on the first roll

which theoretical probabilities are equal to 1/3? check all that apply. rolling an even number on the first roll landing on a star space on the first roll landing at cat town on the first roll not landing on a question mark or star on the first roll rolling a number greater than 4 on the first roll

Answer

Explanation:

Step1: Count total spaces

There are 12 spaces on the game - board.

Step2: Analyze "rolling an even number on the first roll"

Assume rolling a standard 6 - sided die. Even numbers are 2, 4, 6. Probability $P=\frac{3}{6}=\frac{1}{2}\neq\frac{1}{3}$.

Step3: Analyze "landing on a star space on the first roll"

There are 4 star spaces. Probability $P = \frac{4}{12}=\frac{1}{3}$.

Step4: Analyze "landing at Cat Town on the first roll"

There is 1 Cat - Town space. Probability $P=\frac{1}{12}\neq\frac{1}{3}$.

Step5: Analyze "not landing on a question mark or star on the first roll"

There are 4 question - mark and 4 star spaces. So non - question - mark and non - star spaces are $12-(4 + 4)=4$. Probability $P=\frac{4}{12}=\frac{1}{3}$.

Step6: Analyze "rolling a number greater than 4 on the first roll"

Numbers greater than 4 on a 6 - sided die are 5, 6. Probability $P=\frac{2}{6}=\frac{1}{3}$.

Answer:

landing on a star space on the first roll, not landing on a question mark or star on the first roll, rolling a number greater than 4 on the first roll