4. When you toss a fair coin for 8 times and record the result as a sequence of H and T (H for head, T for tail) of the face of the coin that is facing up after each toss. Answer the following questions: (a) How many different outcomes are possible? For example, HHHHHHHH, HTHTTIIT are examples of two outcomes How many different outcomes have 4 heads and 4 tails? How may different outcomes have more heads than tails (e.g., 6 heads and 2 tails, or 5 heads and 3 tails,..)?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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4. When you toss a fair coin for 8 times and record the result as a sequence of H and T
(H for head, T for tail) of the face of the coin that is facing up after each toss. Answer
the following questions: (a) How many different outcomes are possible? For
example, HHHHHHHH, HTHTTIIT are examples of two outcomes
How many different outcomes have 4 heads and 4 tails?
How may different outcomes have more heads than tails (e.g., 6 heads and 2 tails, or 5
heads and 3 tails,..)?
Transcribed Image Text:4. When you toss a fair coin for 8 times and record the result as a sequence of H and T (H for head, T for tail) of the face of the coin that is facing up after each toss. Answer the following questions: (a) How many different outcomes are possible? For example, HHHHHHHH, HTHTTIIT are examples of two outcomes How many different outcomes have 4 heads and 4 tails? How may different outcomes have more heads than tails (e.g., 6 heads and 2 tails, or 5 heads and 3 tails,..)?
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