The probability of losing on a video poker machine is approximately 70%. A woman claims she won on video poker machine 5 times in a row.

Question

What is the probability of that happening?

Answer 1

Assuming that each chance of her winning is independent of another chance, we just need to find (probability of winning)^5. Since the probability of her losing is 70% = 0.7, the probability of her losing is 30% = 0.3. So we get (0.3)^5 = 0.00243.