Which of the following statements is true for 6 tosses of a fair coin, where H = Heads and T = Tails?
A) Sequences with all heads, like HHHHHH, are less likely than specific sequences with 3 heads and 3 tails, like HTHTHT.
B) Sequences with all heads, like HHHHHH, are more likely than specific sequences with 3 heads and 3 tails, like HTHTHT.
C) All specific sequences six letters long (made up of H's and T's), regardless of the number of H's and T's, are equally likely.
D) None of the above.

Question

Quizplus · Accepted Answer

Each specific sequence of six coin tosses, such as HHHHHH or HTHTHT, has the same probability of occurring because each toss is independent and has a 1/2 chance of being heads or tails. Therefore, all specific sequences of six tosses are equally likely.

Which of the Following Statements Is True for 6 Tosses