Final answer:
To calculate the probability of being a Big Winner, divide 1 by the total number of combinations. To calculate the probability of being a Small-Fry Winner, sum the probabilities of choosing 4 correct numbers and 1 incorrect number. To calculate the probability of being either a Big Winner or a Small-Fry Winner, add the probabilities of being a Big Winner and being a Small-Fry Winner.
Step-by-step explanation:
To calculate the probability of being a Big Winner, we need to consider that there are 52 numbers to choose from and we need to select 5 numbers. The order of the numbers does not matter, so we can use the combination formula. The probability of choosing all 5 correct numbers is the number of successful outcomes divided by the total number of possible outcomes. In this case, there is only one way to choose the correct 5 numbers out of 52. So, the probability of being a Big Winner is 1 divided by the total number of combinations.
To calculate the probability of being a Small-Fry Winner, we need to consider that there are 5 numbers to choose correctly and 47 numbers to choose incorrectly. Again, the order does not matter, so we can use the combination formula. The probability of choosing 4 correct numbers and 1 incorrect number is the number of successful outcomes divided by the total number of possible outcomes. There are 5 ways to choose 4 correct numbers and 47 ways to choose 1 incorrect number out of 52. So, the probability of being a Small-Fry Winner is the sum of these probabilities.
To calculate the probability of being either a Big Winner or a Small-Fry Winner, we need to add the probabilities of being a Big Winner and being a Small-Fry Winner.