Problema Solution

you have 8 pennies in your pocket dated, 1972, 1978, 1979, 1985, 1989, 1991, 1993, and 1995. You take the coins out of your pocket 1 at a time. What is the probablility that they are taken out in order by date.

Answer provided by our tutors

We are considering the event: drawing coins out of the pocket 1 at a time.

There is only 1 event when the coins are taken out in order by date.

The total number of events is: 8! = 8*7*6*...*2*1

The probability that they are taken out in order by date is:

P(coins taken out in order by date) = 1/8!

P(coins taken out in order by date) = 1/40320

P(coins taken out in order by date) = 0.0000248 or 0.00248%