A hat contains n coins, f of which are fair and b of which are biased to land on heads with a probability of 2/3. A coin is drawn from the hat and tossed twice. The first time it lands heads and the second time it lands tails.
Given this information, what is the probability that a fair coin has been chosen?

A jar contains a variety of coins. The coins are distributed as follows:
60 pennies
33 nickels
27 dimes
75 quarters
For this distribution, find the probability of randomly selecting the following coins:
a) a nickel
b) a quarter, a dime or a penny
c) two quarters or two dimes, with replacemen

I have 5 dimes, 10 pennies, and 8 quarters. I pull out 3 coins, what is the probability that I pull out 3 pennies. I only get to pick three coins. I am looking or the way that one can see this in step by step terms.

1. Describe two main differences between classical and empirical probabilities.
Gather coins you find around your home or in your pocket or purse. You will need an even number of coins (any denomination) between 16 and 30. You do not need more than that. Put all of the coins in a small bag or container big enough to allow th

A bag cotains 10 nickels, 5 dimes, and 3 quarters. If you draw 3 coins at random from the bag, without replacement, what is the probability that you will get a quarter, a nickel, and a quarter in that order?
An urn contains three red balls numbered 1, 2, 3, four white balls numbered 4, 5, 6, 7, and three black balls numbered

What is the probability that 6 numbers drawn in a lottery will be prime? The numbers range from 1-46.
So i know that the first prime numbers under 46 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43. Which is a total of 14.
Would it be something like 46!/(14!)(32!)? I don't understand probability that well.

An urn contains 8 red chips, 10 green chips and 2 white chips. A chip is drawn and replaced and then a second chip is drawn. What is the probability of:
A) a white chip on the first draw
B) a white chip on the first draw and a red on the second
C) two green chips being drawn
D) a red chip on the second draw given a

A major hat store chain is having a sale on three nationally known brands, A, B and C. Probabilities that Brand A, Brand B or Brand C will not be big sellers are: 0.30, 0.40, and 0.50, respectively. All three brands are manufactured by three independent companies.
Calculate the probability that:
a. None of the brands will b