Question

I toss three coins together. The possible outcomes are no heads, 1 head, 2 heads and 3 heads. So, I say that probability of no heads is `1/4`. What is wrong with this conclusion?

Answer 1

I toss three coins together  ...[Given]

So, total number of outcomes = 2³ = 8

And possible outcomes are (HHH), (HTT), (THT), (TTH), (HHT), (THH), (HIH) and (TTT)

Now, probability of getting no head = `1/8`

Hence, the given conclusion is wrong because the probability of no head is `1/8` not `1/4`.