Probability of Drawing 10 Prizes with a 2% Chance Each Time

As the chance of drawing a prize each time is 2%, the probability of not drawing a prize is 98%. Therefore, the probability of drawing a prize 10 times in a row is:

0.02^10 = 0.0000000004

To find the expectation that 10 prizes will be drawn, we need to multiply the probability by the number of possible ways to draw 10 prizes from a total of 10 draws:

10! / (10-10)!10! = 1

Therefore, the expectation that 10 prizes will be drawn is:

0.0000000004 x 1 = 0.0000000004

In other words, the chance of drawing 10 prizes in this scenario is extremely low.