karishma315 wrote:If Nathan flips a coin 6 times, what is the probability that he gets exactly 3 heads?
Can someone please explain how to use combination logic in this question.
Regards
Karishma Duggal
P = (good outcomes)/(all possible outcomes).
All possible outcomes:
For each of the 6 flips, there are 2 options: heads or tails.
To combine the 2 options for each of the 6 flips, we multiply:
2*2*2*2*2*2 = 64.
Good outcomes:
From the 6 flips, any combination of 3 can yield exactly 3 heads.
Number of ways to choose 3 flips from 6 options = 6C3 = (6*5*4)/(3*2*1) = 20.
Resulting probability:
(good outcomes)/(all possible outcomes) = 20/64 = [spoiler]5/16[/spoiler].
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