Question

There is a school fundraiser where $25, $50, $100, and $200 can be collected. The random prizes are the following: a stuffed animal, a T-shirt, a long sleeve T-shirt, and a sweat shirt. Assume equal probabilities within categories. What is the probability of selecting a winner that donated $50 or $100 and won a T-shirt or long sleeve T-shirt?

Answer 1

To find the probability of selecting a winner that donated $50 or $100 and won a T-shirt or long sleeve T-shirt, we determine the total number of possible outcomes and the number of favorable outcomes. The probability is 0.25.

Step-by-step explanation:

To find the probability of selecting a winner that donated $50 or $100 and won a T-shirt or long sleeve T-shirt, we need to determine the total number of possible outcomes and the number of favorable outcomes.

1. There are a total of 4 donation amounts: $25, $50, $100, and $200.
2. There are a total of 4 random prizes: stuffed animal, T-shirt, long sleeve T-shirt, and sweatshirt.
3. Since the probabilities are assumed to be equal within each category, the probability of donating $50 or $100 is 2/4 = 0.5.
4. Similarly, the probability of winning a T-shirt or long sleeve T-shirt is 2/4 = 0.5.
5. To find the probability of both events occurring, we multiply the probabilities: 0.5 * 0.5 = 0.25.

Therefore, the probability of selecting a winner that donated $50 or $100 and won a T-shirt or long sleeve T-shirt is 0.25.