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two pennies a nickel and a dime are placed in a cup and a first coin and a second coin are drawna assuming we are
if we hash 3 keys into a hash table with ten slots what is the probability that all three keys hash to different slots
find a good sample space for rolling two dice what weights are appropriate for the members of your sample space what is
there is a retired professor who used to love to go into a probability class of thirty or more students and announce i
a bowl contains two red two white and two blue balls we remove two balls what is the probability that at least one is
amphibians1 which is the chordate class considered an evidence of the transition of the vertebrates from the aquatic
fishes1 what are the two major classes into which fishes are divided2 from which features do osteichthyes and
how many functions map nothing to a j-element subset j of k another way to say this is if i have n distinct candy bars
in exercise 52-1 let e be the event even sum and let f be the event 8 or more we found the probability of the union of
when we roll two ordinary dice what is the probability that the sum of the tops comes out even given that the sum is
suppose we draw a card from a standard deck of 52 cards discard it ie we do not replace it draw another card and
a test for a disease that affects 01 of the population is 99 effective on people with the disease that is it says they
a group of n married couples sits a round a circular table for a group discussion of marital problems the counselor
a nickel two dimes and three quarters are in a cup we draw three coins one at a time without replacement what is the
use the additivity of expectation to determine the expected number of correct answers a student will get on an n
suppose i offer to play the following game with you if you will pay me some money you roll a die and i give you a
what is the sample space that we use for rolling two dice a first one and then a second one using this sample space
two nickels two dimes and two quarters are in a cup we draw three coins one after the other without replacement what is
what is the expected value of the constant random variable x that has xs c for every member s of the sample space we
assuming that the process of answering the questions on a five-question quiz is an independent trials process and that
in an independent trials process consisting of six trials with probability p of success what is the probability that
suppose you hash n items into a hash table of size k it is natural to ask about the time it takes to find an item in
what is the expected number of empty slots when we hash 2k items into a hash table with k slots what is the expected
prove as tight upper and lower bounds as you can onfor this purpose it is useful to remember the definition of the
let a be an array of length n - 1 whose elements are chosen from some ordered set sorted into increasing order let b be