Originally Posted by ironbender
Originally Posted by Milwroad
HHHH HTHH THHH HTHT

HHHT HTTH TTHH THTH

HHTT HHTH TTTH THHT

HTTT TTTT TTHT THTT

4 roostrrs (heads) 1/16
3 heads 4/16
2 heads 6/16 = 3/8
1 head 4/16

Huh?
Same probability of 3 as for 1?
Nope.

Yep. If you get 3 heads that means you also got 1 tail. The probability of one tail has to equal the probability of one head, therefore 3 heads = 1 tail = 1 head, so the probability of 3 heads =1 head.

4 roosters (heads) 1/16
3 heads 4/16
2 heads 6/16 = 3/8
1 head 4/16
0 heads 1/16

1 in 16 = 0 heads 4 tails
4 in 16 = 1 heads 3 tails
6 in 16 = 2 heads 2 tails
4 in 16 = 3 heads 1 tails
1 in 16 = 4 heads 0 tails
------
16 in 16


Last edited by natman; 04/16/21.