TU Wien:Statistik und Wahrscheinlichkeitstheorie UE (Bura)/Übungen 2020W/HW01.1

Car licence plates

A certain state's car licence plates have three letters of the alphabet followed by a three-digit number.

(a) How many different licence plates are possible if all three-letter sequences are permitted and any number from 000 to 999 is allowed?

(b) Mary withnessed a hit-and-run accident. She knows that the first letter on the licence plate of the offender’s car was a B, that the second letter was an O or Q, and that the last number was a 5. How many state’s licence plates fit this description?

Lösungsvorschlag von Gittenburg

--Gittenburg 22:16, 12. Okt. 2019 (CEST)

Car licence plates

a) $26^{3}\cdot 10^{3}=17,576,000$

b) $1\cdot 2\cdot 26\cdot 10^{2}\cdot 1=5,200$