29 Jun '09 09:20

I toss two coins, lets say a £1 coin and a £2 coin they land unseen by me.

A friend tells me that I have tossed "at least one Head"

What are the chances that the coins are different? (ie H & T)

Easy!

My friend's information tells me that the result is one of these three.

£1 head and £2 head

£1 head and £2 tail

£1 tail and £2 head

The chances that the coins are different is therefore 2/3

Of course the same argument applies if he tells me that at least one is a tail.

Therefore providing he tells me I have at least one of something (which obviously will be all the time) my chances of tossing a head and a tail are 2/3.

But we all know its 1/2.

ðŸ™„

A friend tells me that I have tossed "at least one Head"

What are the chances that the coins are different? (ie H & T)

Easy!

My friend's information tells me that the result is one of these three.

£1 head and £2 head

£1 head and £2 tail

£1 tail and £2 head

The chances that the coins are different is therefore 2/3

Of course the same argument applies if he tells me that at least one is a tail.

Therefore providing he tells me I have at least one of something (which obviously will be all the time) my chances of tossing a head and a tail are 2/3.

But we all know its 1/2.

ðŸ™„