In the North Carolina Education Lottery "Pick Three Game" there are 75 balls in the machine. Your lucky numbers are 7, 14, and 21. The numbers must be drawn in that order. What's the probability that you'll win the $500.00 prize?

The wording is too nebulous.

Are the balls numbered from 1 to 75 ?

Are you just asking ,
"What is the probability of picking a 7, then a 14 , and then a 21 ?

That is very straight-forward?

Once you have that probability, multiply it by 500.00

To calculate the probability of winning the $500.00 prize in the North Carolina Education Lottery "Pick Three Game", we need to consider the total number of possible outcomes and the number of favorable outcomes.

In this case, there are 75 balls in the machine, and the numbers must be drawn in the order 7, 14, and 21.

The probability of winning the first number (7) is 1 out of 75, as there is only one ball with the number 7.

The probability of winning the second number (14) is also 1 out of 75, as there is only one ball with the number 14.

Similarly, the probability of winning the third number (21) is 1 out of 75.

To find the probability of winning all three numbers in that specific order, you need to multiply the probabilities of each event together.

So, the probability of winning the $500.00 prize would be:

(1/75) * (1/75) * (1/75) = 1/421,875

Therefore, the probability of winning the $500.00 prize in the North Carolina Education Lottery "Pick Three Game" with the specific numbers 7, 14, and 21 in that exact order is 1 out of 421,875.