Question

Martin and Sally are playing a game using a number cube.

• The number cube is numbered 1 through 6

• Martin needs to roll an odd number to win.

• Sally needs to roll an even number to win.

What is the likelihood of Martin winning?
A Sally has a greater likelihood of winning than Martin does.
B Martin has the same likelihood of winning as Sally does.
C Martin has a greater likelihood of winning than Sally does.
D Sally’s likelihood of winning is close to 1.

Answer 1

B. Martin and Sally have the same likelihood of winning.

Reason: There are 6 faces; odd faces are {1,3,5} (3 outcomes) and even faces are {2,4,6} (3 outcomes). Each has probability 3/6 = 1/2.