In the game of roulette, a wheel spins and a ball lands at random in one of an equal number of black and red slots. Because the ball landed in a red slot four times in a row, Cal believes it will land in a black slot on the next spin. Which fallacy most accurately describes the validity of Cal's belief?

Question

Leonardo Sloan

Social Studies

11 February, 11:10

In the game of roulette, a wheel spins and a ball lands at random in one of an equal number of black and red slots. Because the ball landed in a red slot four times in a row, Cal believes it will land in a black slot on the next spin. Which fallacy most accurately describes the validity of Cal's belief?

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Answers (1)

Know the Answer?

Janae Daniel · Answer 1

Answer: Cal is incorrect in believing that random outcomes alternate more than they really do.

Explanation:

Here is the complete questions

a) Cal is incorrect in believing that random outcomes alternate more than they really do.

b) Cal is most likely correct because the law of averages should apply.

c) Cal is incorrect because the ball would need to land in the red slot several more times in a row before increasing its likelihood of landing in a black slot.

d) Cal is most likely correct because the probability of a ball landing in a red slot increases for any spin that immediately follows a black outcome.

Cal is wrong about his believe as he thinks random outcome alternate more than they really do.