In the previous examples the compound event was
one or the other. Jack or Heart, Spade or Diamond.
In other compound events, both events could occur.
What is the proability of picking 2 hearts out of a deck of playing cards?
P( Compound Event )
both events one event or the other
P( A and B ) = P(A) P(B | A) P( A or B ) = P(A) + P(B) - P(A ∩ B)
Key idea: Independent (flipping coins) Key idea: Mutually Exclusive
or not (drawing a pair of aces) Hearts
or not JH
** P(B | A) : probability of B, given
that A has already occured
When I have my tonsils out (soon) I am looking forward to the icecream.
I'm thinking, maybe a 3 scoop bowl would be a good place to start
probably vanilla, caramel cashew, and chocolate.
My wife is going to pick it up for me and will probably
get a cone (with the same flavors) for herself.
How many possible ways can her cone be arranged?
Kopps always has 2 flavors of the day, so if she adds another scoop (burgandy cherry)
how many cone arrangements are there now?
Ok, I need more flavors to choose from.
If Baskin Robbins has 31 flavors, how many 3 scoop cones can I create?
4 scoop cones?
n scoop cones?
Any ordered sequence of k objects taken from
a set of n distinct objects is called a permutation.
Permutations with restrictions:
The letters of the word INFARCTION are arranged at random.
How many permutations are there?
How many of the permutations have F as the third letter?
What is the probability that the last letter is a vowel?