Let’s play Pick-A-Ball with replacement! There are 10 colored balls: 3 red, 4 white, and 3 blue. The balls have been placed into a small bucket, and the bucket has been shaken thoroughly. You will be asked to reach into the bucket, without looking, and select two balls. Since the bucket has been shaken thoroughly, you can assume that each individual ball is selected at random with equal likelihood of being chosen.

A person, Joe, claims to be able to "smell" an illness based on the odor of a person's clothing. Joe is given 12 shirts, each worn by a different person, some of whom had the illness and some of whom did not. The shirts were given to Joe in random order and he had to decide whether each shirt had been worn by an ill patient or by a healthy patient.  joe identified 11 of the 12 shirts correctly. If we assume that Joe was just guessing, he would have probability 1/2 of correctly identifying each shirt.  Find the probability that Joe would identify AT LEAST 11 shirts correctly by random guessing

Pablo randomly picks five marbles from a bag of eleven marbles (six red ones, three green ones, and two yellow ones).   How many outcomes are there in the event that all of the marbles he picks are red?

Bonnie and Connie are twins with identical purses. Bonnie needs 35 cents to pay for a parking meter. Suppose that Bonnie's purse has 5 quarters, 3 dimes, and 2 nickels while Connie's purse has 2 quarters, 5 dimes, and 3 nickels in it. Not being able to tell the difference between the purses, Connie picks one at random and grabs two coins from it. What is the probability that Bonnie picked her own purse given that she drew out enough change to pay for her parking meter? (Note: Bonnie needs to put in at least 35 cents to pay her parking meter.)

A child rolls 7 standard dice of different colors and records the numbers showing. Find the number of different outcomes