Question

A simulated game of chess is programmed between two computers. The game is supposed to be biased in favor of player B winning 4 out of 5 times. Which is the most suspicious set of outcomes of 30 games played between the two computers?

AABABBBABBBBBBBBABBBABBBBBBBBA



ABBABBAABBBBBABBBBBBBBBBBBBABB



ABBABABABABBABABABABABABABABAA



ABBABBBABBBBBBBBABBBABBBBBBBBB

Answer 1

Plato option C to make it simple

Explanation:

I took the test.

Answer 2

ABBABABABABBABABABABABABABABAA

Explanation:

Player B is supposed to be winning 4 out of 5 times. This means that Player A is supposed to win 1 out of 5 times.

This means out of 30 games, player A should win roughly 1/5(30) = 6 times.

In the first list, player A wins 7.

In the second list, player A wins 6.

In the third list, player A wins 15. This is much different.

In the fourth list, player A wins 5.