• 
• 
• 
• 

Sum Probability

Solution

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

Explanation

Step 1

Find out how many combinations there are for each card.
Make a list.

	3	4	7	11
Possible combinations	1 + 2 2 + 1	1 + 3 3 + 1 2 + 2	3 + 4 4 + 3 5 + 2 2 + 5 1 + 6 6 + 1	5 + 6 6 + 5
Total number of combinations	2	3	6	2

Step 2

Find out the total number of possible outcomes using 2 cubes.
6 x 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 earning a point is greater than that of Jeff 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.