Question

A carnival game uses two spinners. The first spinner has eight equal-sized sections, three of which are orange. The second spinner has three equal-sized sections, one of which is orange. The player spins each spinner, and wins if both spinners stop in an orange section. The game operator notices that no one wants to play the game. He is told by the carnival owner to fix the spinners so that more than half of each spinner is orange, but in such a way as to give the game operator the advantage over the player. Which of the following is the best action for the game operator to take?
A.) Change three of the non-orange sections on the first spinner to orange and leave the second spinner as is.
B.) Change one of the non-orange sections on the first spinner to orange and change one of the non-orange sections on the second spinner to orange.
C.) Change two of the non-orange sections on the first spinner to orange and change one of the non-orange sections on the second spinner to orange.
D.) Change three of the non-orange sections on the first spinner to orange and change one of the non-orange sections on the second spinner to orange.

Answer 1

C. It begins with 3/8 and 1/3, and we need to make it 5/8 and 2/3, and the one that does that is C.