A fair coin is flipped six times and the sequence of heads and tails is observed.
a. Are the sequences HHHHHH and HTHHTT equally likely? Explain.
b. Are the events “A = 6 heads in the 6 tosses” and “B = 3 heads and 3 tails in the 6 tosses” equally likely? Explain.
c. Would belief in the law of small numbers lead people to think that the two sequences in part (a) are equally likely, or are not equally likely? Would they be correct? Explain.
d. Would belief in the law of small numbers lead people to think that the two events in part (b) are equally likely, or are not equally likely? Would they be correct? Explain.