I have the following scenario.
There are a number of people on an island. Each person has a chance of 0.015 of dying on any given day, independent of other people on the island. I have two different probabilities for two statements that were calculated by the professor, but I can't see the difference between the meaning of the two statements.
Statement 1: Person A survived the sixth day.
Probability of statement 1:
$P=(1-0.015)^5\cdot 0.015=0.0139$ (probability person A died on the 6-th day)
Statement 2: Person A survived for 6 straight days.
Probability of statement 2:
I understand how each probability was calculated, but I don't see the difference between each statement logically. Please explain what is the difference, or give an example when statement 1 occurs but statement 2 doesn't, or vice versa.