Final answer:
To calculate the probability of winning the lottery when the winning numbers must match the selected numbers in order from a set of 7, we multiply the individual probabilities of each selection (1/7 for the first number, 1/6 for the second, and 1/5 for the third) for an overall probability of 1/210. The correct choice is B) 1/210.
Step-by-step explanation:
To find the probability of winning the lottery when your numbers are 2-4-3, and the numbers must match in order, we consider that the first number is drawn from a set of 7 numbers, then the second from 6 remaining numbers, and the third from the remaining 5 numbers (since each number is not replaced once it is drawn). The probability of getting the first number right is 1 out of 7 (1/7). The probability of getting the second number correct, assuming the first number was already correctly picked, is 1 out of 6 (1/6), and similarly, the third number is 1 out of 5 (1/5).
To calculate the overall probability, we multiply these individual probabilities:
- Probability of first number: 1/7
- Probability of second number: 1/6
- Probability of third number: 1/5
Therefore, the probability of winning the lottery is: (1/7) * (1/6) * (1/5) = 1/210.
The correct answer is B) 1/210.