Eleven dimes dated 1989 through 1999 are tossed. Find the probability of the event.
9. Tails on all but one dime

Question

Eleven dimes dated 1989 through 1999 are tossed. Find the probability of the event.
9.	Tails on all but one dime

parthkohli · Answer

$\Large \color{MidnightBlue}{\Rightarrow [\matrix{9 \8}] }$

parthkohli · Answer

$\Large \color{MidnightBlue}{\Rightarrow {9! \over8!} }$

parthkohli · Answer

And actually, that'd become 1 over that.

parthkohli · Answer

That leaves just 9 for us.


$\Large \color{MidnightBlue}{\Rightarrow {1 \over 9} }$

parthkohli · Answer

@PaxPolaris How'd you get that one -_-

paxpolaris · Answer

sorry 11 dimes (not 10) so :
$$\huge= {11 \over 2^{11}}$$

paxpolaris · Answer

11 total ways to arrange 1 head and 10 tails

out of 2^11 total possibilities

curry · Answer

i got 1/2048

paxpolaris · Answer

11/2048...

the 1st coin could be the head, or the 2nd, or the 3rd..... or the 11th