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Annette [7]
3 years ago
6

A code consists of a digit chosen from 0 to 9 followed by a letter of the alphabet. What is the probability that the code is 9Z?

Mathematics
1 answer:
mart [117]3 years ago
5 0

0.0038  is the probability that the code is 9Z.

<u>Step-by-step explanation:</u>

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)

⇒ 260

Now , 9Z is one combination ! So , probability :

⇒ \frac{1}{260}

⇒ 0.0038

Therefore , 0.0038  is the probability that the code is 9Z.

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