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When we toss 5 fair coins, which sequence is more likely to happen?

A: Getting 2 heads
B: Getting 4 heads

 Jul 1, 2020
 #1
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A: 2/5

B: 4/5

 

So I think B is more likely to happen.

 Jul 1, 2020
 #2
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5 nCr 2 = 10 / 2^5 =10 / 32 =31.25 %  Probability of getting 2 heads on 5 flips.

 

5 nCr 4 =5 / 2^5 = 5 / 32 = 15.625% Probability of getting 4 heads on 5 flips.

 

So, the probability of getting 2 heads is TWICE as likely as getting 4 heads.

 Jul 1, 2020

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