Chapter 11

Sum Probability

Anna has Card 7.
Daisy has Card 3.
Jeff has Card 11.
Russ has Card 4.

Step 1
Find out how many combinations there are for each card.
Make a list.
 3 4 7 11 Possible combinations 1 + 22 + 1 1 + 33 + 12 + 2 3 + 44 + 35 + 22 + 51 + 66 + 1 5 + 66 + 5 Total number of combinations 2 3 6 2

Step 2
Find out the total number of possible outcomes using 2 cubes.
6 6 = 36
There are 36 possible combinations.

Step 3
Find out the probability of getting each one of the numbers on the cards.
Use a ratio to find each probability.

 combinations possible for each card = outcomes in event 36 possible outcomes

 3 4 7 11 Probability

Step 4
Use the clues.

• Anna has the greatest probability of scoring a point on her first turn. She must have Card 7 because it has the probability of 6 out of 36.
• Jeff's and Daisy's cards have the same probability. They must have Cards 3 and 11 because the probability of scoring a point with those cards is 2 out of 36.
• Jeff's card has a higher number than Daisy's. He must have Card 11.
• The probability of Russ's earning a point is greater than that of Jeff's earning a point. He must have Card 4 because the probability of that card is 3 out of 36.

Summary
Anna has Card 7.
Daisy has Card 3.
Jeff has Card 11.
Russ has Card 4.