A box contains r red balls and b blue balls. One ball is selected at random and its color is observed. The ball is then returned to the box and k additional balls of the same color are also put in the box. A second ball is then selected at random, Its color is observed & it's returned to the box together with k additional balls of the same color. Each time another ball is selected, the process is repeated. If four balls are selected, whats the probability that the first three balls will be red and the fourth be blue?

A box contains r red balls and b blue balls. One ball is selected at random and its color is observed. The ball is then returned to the box and k additional balls of the same color are also put in the box. A second ball is then selected at random, Its color is observed & it's returned to the box together with k additional balls of the same color. Each time another ball is selected, the process is repeated. If four balls are selected, whats the probability that the first three balls will be red and the fourth be blue?

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.6: Counting Principles

Problem 74E: Lottery Powerball is a lottery game that is operated by the Multi-State Lottery Association and is...

See similar textbooks

Similar questions

A board of directors consisting of eight members is to chosen from a pool of 30 candidates. The board is to have a chairman, a treasurer, a secretary, and five other members. In how many ways can the board of directors be chosen?
How many ways can a committee of 3 freshmen and 4 juniors be formed from a group of 8 freshmen and 11 juniors?
Lottery Powerball is a lottery game that is operated by the Multi-State Lottery Association and is played in 44 states, Washington D.C., Puerto Rico, and the U.S. Virgin Islands. The game is played by drawing five white balls out of a drum of 69 white balls (numbered 1-69) and one red powerball out of a drum of 26 red balls (numbered 1-26). The jackpot is won by matching all five white balls in any order and the red powerball. (a) Find the possible number of winning Powerball numbers. (b) Find the possible number of winning Powerball numbers when you win the jackpot by matching all five white balls in order and the red powerball.
How many different signals can be sent, when three flags are used, if two of the 9 flags are missing?
There are 10 applicants for three sales positions at a department store. All of the applicants are qualified. In how many ways can the department store fill the three positions?