Final answer:
To calculate the expected value of a Lotto Texas ticket, multiply each prize amount by its respective probability of winning and then add up all the products. The expected value of a Lotto Texas ticket is $36.78.
Step-by-step explanation:
To calculate the expected value of a Lotto Texas ticket, we need to multiply each prize amount by its respective probability of winning and then add up all the products. In this case, the prizes and their probabilities are:
- Prize: $7500000, Probability: 0 (you can't win it)
- Prize: $1605, Probability: 0.969
- Prize: $36, Probability: 0.025
- Prize: $3, Probability: 0.005
- Prize: $0, Probability: 0.001
- Prize: $0, Probability: 0.001
- Prize: $0, Probability: 0.001
The expected value can be calculated as follows:
(0 * 0) + (1605 * 0.969) + (36 * 0.025) + (3 * 0.005) + (0 * 0.001) + (0 * 0.001) + (0 * 0.001) = $36.78
Therefore, the expected value of a Lotto Texas ticket is $36.78.