OG states the following regarding counting methods, "...each time a coin is flipped, there are two possible outcomes, heads and tails. If an experiment consists of 8 consecutive coin flips, then the experiment has 28 possible outcomes, where each of these outcomes is a list of heads and tails in some order."
How did OG calculate that there are 28 possible outcomes? Can someone show the math behind this?
OG Pg. 117 (Orange Book)
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If I am not mistaken the multiplication principle states that in counting the possibilits of independent events happenning u mutiply the possibilities of these indepenedent events (i.e what comes up in the 2nd flip is independent of what happenned in the 1st flip)
2*2*2*2*2*2*2*2 = 2 ^ 8
Hope this helps!
2*2*2*2*2*2*2*2 = 2 ^ 8
Hope this helps!
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when you flip the coin 8 times there are 256 (2^8) possible combinations (outcomes) considering the probability into account for eg.
it can be be
1. H, H, H, H, H, H, H, T
2. H, H, H, H, H, H, T, T
3. T, T, T, T, T. T, T, H
---
--
up to 256 combinations.
it can be be
1. H, H, H, H, H, H, H, T
2. H, H, H, H, H, H, T, T
3. T, T, T, T, T. T, T, H
---
--
up to 256 combinations.