Question

A game board with 17 spaces. Start, green, green, star, quesiton mark, question mark, star, question mark, green, cat town, green, green, star, question mark, green, green, star, green, end.

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 1

Answer: (2), (4), and (5).

Explanation: From Start a 1–6 roll lands on these spaces: 1=green, 2=green, 3=star, 4=?, 5=?, 6=star. There are 6 equally likely outcomes.
- Star: 2/6 = 1/3.
- Not a ? or star (i.e. green): 2/6 = 1/3.
- Roll > 4 (5 or 6): 2/6 = 1/3.

Rolling an even number is 3/6 = 1/2; Cat Town cannot be reached on the first roll (0).