If I toss a fair coin five times and the outcomes are TTTTT. Then the probability that tails appears on the next one is
(a) 0.5
(b) Less than 0.5
© Greater than 0.5
(d) 0
(e) 1
Answer:
(a) 0.5
Each flip of a fair coin is independent, which means that future results have NO correlation with zero results. The probability that the result of the next flip will be tails is ALWAYS 0.5.
It doesn’t matter if past results were TTTTTT or HHHHHHH or THTHTHTH. The probability that the next result will be tails is still 0.5 in each of these cases, and in every other case.