Suppose a student tosses a fair coin consecutively 10 times and gets tails each time.Which belief about the probability of getting heads on the next toss is NOT consistent with the gambler's fallacy?
A) The probability of getting heads on the next toss is 4/5.
B) The probability of getting heads on the next toss is 5/6.
C) The probability of getting heads on the next toss is 6/10.
D) The probability of getting heads on the next toss is 9/10.
E) The probability of getting heads on the next toss is 1/2 .

Question

Suppose a student tosses a fair coin consecutively 10 times and gets tails each time.Which belief about the probability of getting heads on the next toss is NOT consistent with the gambler's fallacy?
A) The probability of getting heads on the next toss is 4/5. 
B) The probability of getting heads on the next toss is 5/6. 
C) The probability of getting heads on the next toss is 6/10.
D) The probability of getting heads on the next toss is 9/10.
E) The probability of getting heads on the next toss is 1/2 .

Quizplus · Accepted Answer

The gambler's fallacy is the mistaken belief that past events affect the probability of future independent events. The probability of getting heads on the next toss of a fair coin is always 1/2, regardless of previous outcomes, which is consistent with choice E and not a manifestation of the gambler's fallacy. Choices A, B, C, and D suggest that the probability changes based on past outcomes, which is incorrect and indicative of the gambler's fallacy.

Suppose a Student Tosses a Fair Coin Consecutively 10 Times