Sum Probability

Question

Four cards, numbered three, four, seven, and eleven.

Anna, Jeff, Daisy, and Russ are playing an addition game. Each person has picked one of the cards shown above. To score a point, a player must roll two number cubes and get the sum equal to the number of the card already selected. After three turns, each player selects a different card from the deck.

  • Anna has the greatest probability of scoring a point.
  • Even though Jeff has a card with a higher number, his chances of scoring a point are the same as Daisy's chances.
  • The probability that Russ will earn a point is greater than the probability that Jeff will.

Which card was selected by which player?
What is the probability of each player scoring a point on his or her first turn?



Houghton Mifflin Math Grade 6