Jessie is playing a game in which each player spins the spinner shown two times. The player with a sum of 7 from the two spins wins the game.
A spinner is divided into 5 colored wedges labeled 1, 2, 3, 4, or 5. The wedges, in order from smallest to largest, are: 1, 4, 2, 3, 5.
Question
Which first spin would give Jessie the ,begin emphasis,best,end emphasis, chance of winning the game?
Answer options with 5 options
A.
1
B.
2
C.
3
D.
4
E.
5
In order to calculate the best chance of winning the game, we need to consider the sum of the first spin along with the potential outcomes of the second spin.
If Jessie spins a 1 on the first spin, the possible outcomes for the second spin are 6, 7, 8, 9, and 10. Out of these options, only the sum of 5 and 2 would give Jessie a total sum of 7 and win the game.
If Jessie spins a 2 on the first spin, the possible outcomes for the second spin are 5, 6, 7, 8, and 9. Out of these options, only the sum of 3 and 4 would give Jessie a total sum of 7 and win the game.
If Jessie spins a 3 on the first spin, the possible outcomes for the second spin are 4, 5, 6, 7, and 8. Out of these options, only the sum of 2 and 5 would give Jessie a total sum of 7 and win the game.
If Jessie spins a 4 on the first spin, the possible outcomes for the second spin are 3, 4, 5, 6, and 7. Out of these options, only the sum of 1 and 6 would give Jessie a total sum of 7 and win the game.
If Jessie spins a 5 on the first spin, the possible outcomes for the second spin are 2, 3, 4, 5, and 6. Out of these options, only the sum of 4 and 3 would give Jessie a total sum of 7 and win the game.
From these calculations, we can see that the first spin with the best chance of winning the game is option C - 3.