a student claims that if a fair coin is tossed and comes up heads 5 times in a row, then according to the law of averages the probability of tails on the next toss is greater than the probability of heads. What is your reply?
math - Damon, Sunday, January 31, 2010 at 6:15pm
That each toss is independent and the probability of heads on the next toss is 0.5
math - angela, Sunday, January 31, 2010 at 6:37pm
the probability is that yes it would land on heads.
math - PsyDAG, Monday, February 1, 2010 at 10:28am
The probability of getting six heads in a row is very small ([1/2]^6 = 1/2 * 1/2 * 1/2 * 1/2 * 1/2 * 1/2). However, once you have tossed 5 heads in a row, the probability of getting a head on the sixth toss is still 1/2 = .5.
I hope this helps a little more.