Question

if there is a 1 in 2,500 chance that you will pick the numbers correctly in tonights lottery, what is the probability that you will not pick the numbers correctly?
the probability you will not pick the correct numbers is
(type an integer or simplified fraction.)

Explanation:

Step1: Determine the probability of picking correctly

The probability of picking the numbers correctly, \(P(\text{correct})\), is \(\frac{1}{2500}\).

Step2: Use the formula for complementary events

The probability of an event \(A\) not occurring, \(P(\text{not }A)\), is given by \(P(\text{not }A)=1 - P(A)\). Here, \(A\) is the event of picking the numbers correctly. So \(P(\text{not correct})=1-\frac{1}{2500}\).
Calculate \(1-\frac{1}{2500}=\frac{2500}{2500}-\frac{1}{2500}=\frac{2500 - 1}{2500}=\frac{2499}{2500}\).

Answer:

\(\frac{2499}{2500}\)