A basket contains 12 mangoes and 10 santol fruits. joey chooses a mango or a santol. Then Jenny chooses a mango and a santol. For what choice of Joey will Jenny have a greater number of choices?
To determine when Jenny will have a greater number of choices, we need to consider the possible scenarios for Joey's choices.
Let's assume Joey makes a choice randomly, without any preference for mangoes or santol fruits.
1. If Joey chooses a mango:
- After Joey's choice, there will be 11 mangoes and 10 santol fruits left in the basket.
- When Jenny chooses, she will have 11 mangoes and 10 santol fruits to choose from.
- Therefore, Jenny will have a total of 21 choices (11 mangoes + 10 santols).
2. If Joey chooses a santol fruit:
- After Joey's choice, there will be 12 mangoes and 9 santol fruits left in the basket.
- When Jenny chooses, she will have 12 mangoes and 9 santol fruits to choose from.
- Therefore, Jenny will have a total of 21 choices (12 mangoes + 9 santols).
In both scenarios, Joey's choice does not affect the number of choices available to Jenny. Regardless of whether Joey chooses a mango or a santol fruit, Jenny will always have 21 choices.
Hence, Joey's choice does not determine when Jenny will have a greater number of choices.