A unbiased coin is tossed 60 times. How many possible outcomes are there? How many of them have exactly 45 heads and 15 tails?
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Step-by-step explanation:
Let us consider an instance(realization) of the experiment. What is the probability that you'll get 14 heads?
In other words, what is the probability that you'll get the following sequence?
HHHHHHHHHHHHHHTTTTTT
If you are tossing a fair coin, then this is given by:
(1/2)14.(1/2)6=(1/2)20(1/2)14.(1/2)6=(1/2)20
as each toss is statistically independent of the others.
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