What is the probability of getting tails five times in a row with a two-sided coin

Question

anonymous · Answer

please help

anonymous · Answer

hi phi

anonymous · Answer

Assuming an even coin, multiply the probability of getting tails by the number of flips:
$$P(5 tails) = P(Tails)^5 = (.5)^5=.03125$$

anonymous · Answer

please exsplane better

phi · Answer

one way is draw a tree

on the first flip you have two possibilities:
|dw:1373572879114:dw|

two tails in a row is 1/4
you keep drawing the tree, and follow the T only branches, label each leg 1/2
and multiply the 1/2's  for each leg....

anonymous · Answer

Alright, obviously the probability of getting tails on one flip is 1/2.
What then is the probability of getting tails twice in a row?  Your flip possibilities are TT, TH, HT, and HH.  So the probability is 1/4, or (1/2)^2

anonymous · Answer

And Phi just rocked that answer.  Does that help?

anonymous · Answer

yep thancks