0.0038 is the probability that the code is 9Z.
Step-by-step explanation:
Here we have , A code consists of a digit chosen from 0 to 9 followed by a letter of the alphabet. We need to find What is the probability that the code is 9Z . Let's find out:
A code consists of a digit between 0-9 , i.e. there are 10 choices . And followed by a letter i.e. from A-Z having 26 choices ! So combinations possible are :
0{A-Z}=26
1{A-Z} = 26
2{A-Z} = 26
3{ A-Z}=26
.......
9{A-Z}=26 or ,
⇒ 10(26)
⇒ [tex]260[/tex]
Now , 9Z is one combination ! So , probability :
⇒ [tex]\frac{1}{260}[/tex]
⇒ [tex]0.0038[/tex]
Therefore , 0.0038 is the probability that the code is 9Z.
