Probability

Sample space of flipping one coin = {H, T}
Sample space of families one kid = {B, G}

Sample space of flipping two coins = {____________________________}
Sample space of families two kids = {____________________________}
Probability of flipping 2 coins and getting 
  2 heads = _________               ==___________
  (exactly) 1 head = _________      ==___________
  no heads = _________              ==___________
  at least 1 head = _________     >=1   ==___________
  at most 1 head = _________      <=1   ==___________

Sample space of families of three kids = {__________________________________________}
Probability of family of 3 kids and getting 
  3 boys = _________
  (exactly) 1 boy = _________
  (exactly) 2 boys = _________
  no boys = _________
  at least 1 boy = _________
  at least 2 boys = _________
  at most 1 boy = _________
  at most 2 boys = _________
  first and third is boy = _________
  consecutive boys = _________
  alternating boys and girls = _________



Label each top branch with 0, each bottom branch with 1.

In first column write the sequence of digits used to get there.
 These are the numbers 0 thru 7 in binary (each in 3 bits, so some have leading 0's).
Second column: substitute H for 0, T for 1
Third column: substitute B for 0, G for 1

 
Hamlet says: "Ay, sir, to be honest, as this world goes, 
is to be one man picked out of ten thousand."
What is the probability of an honest man:________
Out of a population of 100 million, how many honest men are there:_______


SKIP

If a process has a 90% chance of success each time it's done, what is the probability
that doing it twice is successful:_______ (both times succeed)
that doing it thrice is successful:_______ (all 3 times succeed)
that doing it four times is successful:_______ (all 4 times succeed)

that in doing it four times there is one or more (at least one) failure:__________

that in doing it twice both times fail:_______
that in doing it thrice all 3 times fail:_______
that in doing it four times all 4 times fail:_______