SOLUTION: an unbiased coin is tossed six times. What is the probability that it will land heads: a) exactly three times? b) at most three times? c) on the first an and last toss?

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Question 891952: an unbiased coin is tossed six times. What is the probability that it will land heads:
a) exactly three times?
b) at most three times?
c) on the first an and last toss?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
There are 64 possible outcomes.
0 heads - 1
1 head - 6
2 heads - 15
3 heads - 20
4 heads - 15
5 heads - 6
6 heads - 1
.
.
.
a) P%283H%29=20%2F64=5%2F16
b) P=%281%2B6%2B15%2B20%29%2F64=42%2F64=21%2F32
c) Of the 64, only half of them start with a head on the first toss.
Of those 32, only half of them end with a head on the last toss.
P=16%2F64=1%2F4