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There are two raffles running at the school Gala.

Toy Raffle: Chance of winning a prize is 3/20.
Grand Raffle Draw: There are 100 tickets in our draw. All tickets ending in 0 or 5 win a prize. Which raffle offers the best chance of winning a prize?
A. Toy Raffle
B. Grand Raffle Draw
C. Both offer the same chance
D.None of the above

1 Answer

1 vote

Final answer:

The Grand Raffle Draw offers the best chance of winning a prize with a 1/5 or 4/20 chance, compared to the Toy Raffle, which has a 3/20 chance.

Step-by-step explanation:

We will compare the chances of winning from the Toy Raffle and the Grand Raffle Draw to determine which raffle offers the best chance of winning a prize. For the Toy raffle, the chance of winning is given as 3/20. Now let's analyze the Grand Raffle Draw. It's stated that all tickets ending in 0 or 5 win a prize. Since the tickets are numbered from 1 to 100, this would include the following numbers: 5, 10, 15, 20, etc., up to 95 and 100. This gives us a total of 10 numbers ending in 5 and 10 numbers ending in 0, for a total of 10 + 10 = 20 winning tickets.

Thus, the chance of winning a prize in the Grand Raffle Draw is 20/100 or 1/5, which simplifies to 4/20 when put on a common denominator with the Toy Raffle. Now let's compare:

  • Toy Raffle: 3/20
  • Grand Raffle Draw: 4/20

Comparing the two fractions, 4/20 is greater than 3/20, indicating that the Grand Raffle Draw offers a better chance of winning a prize than the Toy Raffle. The correct answer to the question "Which raffle offers the best chance of winning a prize?" is B. Grand Raffle Draw.

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