Question

A coin is tossed five times. By counting the elements in the following events, determine the...

A coin is tossed five times. By counting the elements in the following events, determine the probability of each event. (Show your work)

a. Heads never occurs twice in a row.

b. Neither heads or tails occur twice in a row

c. Both heads and tails occur at least twice in a row.

The answers are 13/32, 1/16, and 1/4. I'm just stuck on how to get them.

Math   Statistics-And-Probability   
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Answer #1


In part a, if there will be 5T, so no 2 H can occur together. 5T can be obtained in 1 way TTTTT. If there will be (4T,1H) there can’t be 2 consecutive H. (4T,1H) can occur in 5 ways: TTTTH, TTTHT, TTHTT, THTTT, HTTTT and so on.
Let me know if you need any further clarification. Thank you.

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