throwing 8 coins - probability question

[hanshuckebein]

hi folks,

following this explanation

link:s://:.youtube.com/watch?v=vkYsmIlM9CE

throwing  8 coins the probability of getting 5 heads and 3 tails is 0.218,

my question: what is the probability of getting either 5 heads/3 tails or 5 tails/3 heads? what is the probability of getting a 5 to 3 ratio either way?

I'd be glad if anyone could help here.

thanks and cheers 
hans

[hanshuckebein]

oh, and maybe: what is the probability of getting a 4/4 ratio either way.

[Herby]

{{0, 8, 0.00390625}, {1, 7, 0.03125}, {2, 6, 0.109375},
{3, 5, 0.21875}, {4, 4, 0.273438}, {5, 3, 0.21875},
{6, 2, 0.109375}, {7, 1, 0.03125}, {8, 0, 0.00390625}}

In bold or blue color your requested values.
Greets

[Herby]

either 5 heads/3 tails or 5 tails/3 heads?

5 heads/3 tails: p= 0.218
5 tails/3 heads: p= 0.218
-----------------------------------------
Sum: p= 0.436

Whats your name at paroli ?

[hanshuckebein]

thanks. 

are you refering to the german forum "paroli"? I'm not and have never been a member there. In fact I don't even know if it still exists as I haven't looked at it for quiete some time. but thanks for reminding me.

cheers
hans 

[Herby]

german forum "paroli"?

Yes, it still exists.
cheers