Question

A board game uses a spinner like one below, where 0, 1, 2, and 3 are all equally likely.Each turn, a player spins twice and subtracts the results of the spins. The game only looks at non-negativedifferences. For example, if a player spins a 1 and a 3, the difference is 2.Let X represent the difference in given turn.Which tables represents the theoretical probability distribution of X?Choose 1 answer:

Answer 1

The possible outcomes are:

0: 1-1, 2-2, 3-3, 4-4 => 4

1: |2-1|, |3-2|, |4-3|, |1-2|, |2-3|, |3-4| => 6

2: |3-1|, |4-2|, |1-3|, |2-4| => 4

3: |4-1|, |1-4| => 2

The total number of outcomes is 4+6+4+2 = 16. Then, the table that represents the theoretical distribution is: