A credit card company randomly 9 generates temporary four digit passcodes for cardholders. Serena is expecting her credit card to arrive in the mail. What is the probability that her pass code will consist of four different odd digits?

1 Answer
Dec 26, 2015

First, determine your Sample Space ...

Explanation:

Your problem did not specify if the passcode digits are all different, so assuming that repetition is allowed (eg, 3333) ...

Sample Space #=10^4 = 10000#

Next, determine Serena's event ...

There are 5 odd digits, but they must also be different ...

Serena's Event #=5xx4xx3xx2=120#

P(four different odd digits) #=120/10000=0.012#

hope that helped