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 + 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 
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 |
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.
