Match The Card






Match The Card


Each of 9 people has a standard deck of 52 playing cards. Each person randomly selects one card from their respective deck. What is the probability of at least one match (at least 2 people draw a card with the same suit and same face)? How many cards are needed to give a probability of match of at least 0.9850?

Correct Solutions:


  1. Craig Chasseur. Center for Arts & Science, Saginaw, MI
  2. Nick Gourevitch. Torrey Pines HS, Del Mar, CA
  3. Alex Lorbert. Yeshivah of Flatbush HS, Brooklyn, NY
  4. Teddy Schaffer. The Westminster Schools, Atlanta GA
  5. Jack Lai. Los Altos HS, Hacienda Hts, CA
  6. Becky Cheng. Los Altos HS, Hacienda Hts, CA
  7. JJ Murphy. Oblong HS, Oblong, IL
  8. Brian Yang, Los Altos HS, Hacienda Hts., CA
  9. Arthur Chang, Los Altos HS, Hacienda Hts., CA
  10. Frank Kuo, Los Altos HS, Hacienda Hts., CA
  11. Becky Cheng, Los Altos HS, Hacienda Hts., CA
  12. Angel Lin, Whittier Christian HS, Whittier, CA
  13. Richard Cheng. Los Altos HS, Hacienda Hts., CA
  14. Justin Lam. College Park HS, Pleasant Hill, CA
  15. Erin Perkins. Lake Highland Prep, Orlando, FL