Final answer:
To select the raffle option that maximizes a daughter's chance of winning, we compare Option 1 with a 2/318 chance of winning to Option 2 with a 1/171 chance. Option 2 offers better odds and would thus be the preferable choice.option b is correct answer.
Step-by-step explanation:
The student's question revolves around the choice between two raffle options for a fundraising event at Hawkeye Elementary School. Let's analyze each option with calculations, assuming you have a daughter in sports and thus may prioritize her chances of winning.
Calculations for Option 1
With Option 1, there are two prizes raffled among all 318 students. Your daughter's chance of winning a prize would be the number of prizes divided by the total number of participants. So, her chances of winning in this scenario would be 2/318.
Calculations for Option 2
With Option 2, there is one prize for girls and one for boys, with separate raffles. The chances of a girl winning would be better in this scenario as the pool is smaller. Your daughter's chance of winning in this option would be 1/171.
When comparing the chances, 1/171 is a higher probability than 2/318. Since your priority might be to maximize your daughter's chance of winning, Option 2 would be the preferable choice, as it nearly doubles her chances of winning a prize compared to Option 1.