Gumballs A jar contains 50 red gumballs and 30 blue gumballs.Seven balls are randomly selected from the box without replacement.What is the probability of selecting a red gumball followed by a blue gumball, then a red gumball followed by a blue gumball, then a red gumball followed by a blue gumball, then followed by another red gumball? Please round your answer to the nearest thousandths.
October 24, 2005
Past Problems
	E-mail Solutions to: pow@umassd.edu
	Correct Solutions
	Minray Yang. Carwise Middle School, Palm Harbor, FL Viktor Elbert. Franklin High School, Reisterstown, MD Eugene Roytman. New York, NY Can Oztoprak. Istanbul, Turkey Rahul Rege. Carwise Middle School, Palm Harbor, FL Alexander McAvoy. Hampshire Regional High, Westhampton, MA Marcos Lopez. Vanguard High School. Ocala, FL Rafael Zambrano. Barranquilla, Colombia. SA Adrian Atanasiu.  Bucharest , Romania Jerrold Greenberg. New York, NY Nathan Caldwell. DeLaura Middle School, Satellite Beach, FL Patrick Mc Henry. Gloucester City, New Jersey Schools Frank McGartland.  Saskatoon, SK., Canada Jerome Cherry. Mundare, Alberta Sahit Bollineni. Highmeadow Common Campus, Farmington Hills, MI Rohit Bollineni. Power Middle School, Farmington Hills, MI Virginia Cornelius. Lagfayette High Schhol, Oxford, MS Ashvin Swaminathan. Harker Elementary School Maura MacKenzie. Sheffield, MA Matt Welsh.  Arrowhead High School, Hartland, WI Sagar Patel. Broookston School, C-Town, GA Josh Henkel. Arrowhead Highschool, Hartland, WI Abigail Finger. Dartmouth High School, Dartmouth, MA Mark Wintczak. Naperville, IL Daniel Pyon. South Pasadena Middle School, South Pasadena, CA Genoa Warner. Dartmouth High School, Dartmouth, MA. Matt Kestenbaum. Dartmouth High School, Dartmouth, MA Karina Bakker. Southridge School, BC, Canada George Hatzikiriakos. Southridge School Surrey, BC, Canada Max G. Carusi, NJ Amanda Frankwick, Arrowhead High School Hartland, WI Sarah Chen. Marie Curie Middle School, New York, NY David Lu. NYC Seana McKee. Dartmouth High School, Dartmouth, MA Alan Leung. Mississippi School for Mathematics and Science, Columbus, MS Cong Tian. Sachem North High School, Long Island, NY Vishwas Chandra. White Station High School, Memphis, TN Nancy Huynh. MVRCS Upper School. Everett, MA Jon Eisenberg. Dartmouth High School, Dartmouth, MA Carolyn Merchant. Dartmouth High School, South Dartmouth. MA Matthew Wong. South Pasadena Middle School, South Pasadena, CA Rachel Bier. Dartmouth High School, Dartmouth, MA Max White. South Pasadena Middle School, South Pasadena, CA Vincent Dang. Stanton College Preparatory School, Jacksonville, FL Ms. Rothermel, Rye, NH Michael Fang. Osceola Middle School, Ocala FL Catherine Cunningham. Creekwood Middle School, Kingwood, TX Alexander Taciuk. Southridge School, Surrey, BC Canada Brian Hetrick. UNH, Manchester, NH Anna Li. Sandburg Middle School, Anoka, MN Roger Ouyang. Adobe Bluffs Elementary School, San Diego CA Jason Ku. Whitney High School, Cerritos, CA Leong HoongHan. Bukit Mertajam, Penang, Malaysia Amanda Tu. Southridge School, Surrey, BC, Canada Brian Chan. Summit Middle School, Coquitlam BC Jess Wrigley. Somerset College, Australia Roland Vyncke. Brugge, Belgium Chauhan Rakesh. New Delhi, India Aristides Kyriakakis.  Thessaloniki,  Grece Harry Siebert. Infineon, Munich, Germany Hannah Szynal. Darmtouth High, MA Chris Hanes. West Port High School, Ocala, FL Pascale Philpot. Valencia Community College, Kissimmee FL Chris McLachlan. Crocus Plains School, Brandon, Manitoba, Canada Megan Maki. Trinity High School, River Forest, IL Anna Wilson. Trinity High School, River Forest, IL Caroline Brander. Trinity High School, River Forest, IL Emily Ouyang. Adoble Bluffs Elementary, San Diego, CA Marius Damian. Braila, Romania Becky Britton. St. Luke Middle School, Columbus, GA Raphael Chalhub. Pan American School of Bahia, Salvador, Bahia, Brazil Cray Math Project. New Castle, PA Bar Greengrass. Israel Sky Su. Brooklawn Middle School, Parsippany, NJ Jason Dolinsky. New York, NY Peter Moynahan. Rye Junior High, Rye NH Karina Shaw. Laguna Beach School, Newport Beach, CA Joe Brophy, Boston, MA Sarah Bartley. Rye Junior High School. Rye, NH Andrew Sailor, Osceola Middle School, Ocala, FL Jennifer Sailor. Osceola Middle School, Ocala, FL Dave Barron.  Chelmsford High School, Chelmsford, MA Brianna Loo. South Pasadena Middle School, South Pasadena, CA Nikki Tan. Southridge, Surrey, BC Canada David Wang. Don Mills C.I. Toronto, ON, Canada Chris Money.  Carwise Middle, Palm Harbor, FL Patrick Gilroy. Creekwood Middle School, Kingwood, TX Devan Lai. Saratoga High School, Saratoga, CA Herman Timoteo. San Lorenzo Ruiz Academy of Polomolok, Philippines Kathrin Baur. Pan American School of Bahia, Salvador, Bahia, Brasil Maggie Schoening. Dartmouth High School, Dartmouth, MA Tommy Craig. Chaparral High School, Parker, CO Steigen Johnson. Pan American School of Bahia, Salvador, Bahia, Brazil Kathrin Baur. Pan American School of Bahia, Salvador, Bahia, Brazil Seong Lee. Saigon South International School, Ho Chi Minh City, Vietnam Asher Tuggle. Colorado Great School, Colorado Springs, CO Serena Kulmatyski. R.F. Staples, Westlock, AB, Canada Graham Anderson. Faith Lutheran College, Plainland, Qld Australia Shannon Sattler. Hartland, WI Michelle Lam. South Pasadena Middle School, South Pasadena, CA Wu Ken. Pan American School of Bahia, Brazil, Bahia, Salvador Sau Wai. Pan American School of Bahia, Salvador, Bahia, Brazil April Joy Spears. EKU, Richmond, KY Ekaterina Merkurjev. Pacific Palisades Charter High, Pacific Palisades, CA Elizabeth Long. Tain, Scotland Kevin Temew. Davao Christian High School, Davao City, Philippines Danny Gordon. Columbus, GA Jennifer Saum. VCC, Kissimmee, FL Bob Beethoven, Hartland Elementary, Harland, VT Tina Watson. Hartland Elementary and Middle School, Hartland, VT Tim Poe. Austin, TX Jared Krawitz. Lawrence School, Brookline School, Brookline, MA Carl Sedgeman. Sauk Centre HS, Sauk Centre, MN Bojan Ilic. Prirodno-Matematicki Fakultet, Nis, Serbia & Montenegro Aaron Foreman. Creekwood Middle School, Kingwood, TX Corinne Fortin. Hastings Middle School, Fairhaven, MA Jennifer Signorella. Dartmouth High, Darmouth, MA Katie Miller. Dartmouth High School, Dartmouth, MA Ronnie Keates. Campbell County High School, Alexandria, KY Tina Watson. Dublin School of Music, Dublin, United Arab Emirates Evan Cottle. Parkersburg High School, Parkersburg, WV Vivian Lao. United Kingdom Aaron Rose. Hastings Middle School, Fairhaven MA Tiffany Chen. South Pasadena Middle School, South Pasadena, CA Carter Galbraith. Brookstone School, Columbus, GA Olivia McGlone. Dartmouth, MA Avi Dhaliwal. Southridge Secondary School, Surrey, BC, Canada Rin Sone. South Pasadena Middle School, CA Kelli Uyeda. South Pasadena High School, South Pasadena, CA John Lee. Southridge School. Surrey, BC Canada Bob Beethoven, HES, Hartland VT Bob Mitchell. Normal, IL Olivia Applegate, Creekwood Middle School Ben Gieske. Sauk Centre HS, Sauk Centre, MN Josh Gow. Sauk Centre HS, Sauk Centre, MN Pat Costello. EKU, Richmond, KY Ryan Elmer. Creekwood Middle School, Kingwood, TX Daria Merkurjev. Palisades Charter High School Sarah Maldonado. Creekwood Middle School, Kingwood, TX Raj Patel. Palm Harbor Carwise Middle School Alexander Kwok, South Pasadena Middle School, CA Dan Dietz. Creekwood Middle School, Kingwood, TX Co Nguyen. Kissimmee Middle School, Kissimmee, FL Pam C. Fairhaven Public School Chiraag Gupta. Southridge School, South Surrey, BC-Canada Max Wolff. South Pasadena Middle School, South Pasadena, CA Daniel Ruatta. South Pasadena Middle School, South Pasadena, CA Mary Smith. Kissimmee, FL James Letendre. Southington High School, Southington, CT Sunanda Mattancheril. White Station Middle School, Memphis, TN Sean Murray. Caboolture, Qld Australia Jennifer Signorella. Dartmouth High, Dartmouth, MA Phillip Ai.  Hammarskjold Middle School, East Brunswick, NJ Pup Field. Brookstone School, Columbus, GA Thorsten Habersang.
	21% of respondents successfully answered this problem.

 

 Last Updated On: 11/16/05