A country makes license plates for cars with exactly 4 characters and no spaces. The characters can be any letter A-Z or any number 0-9. If a license plate is made with random characters, what is the probability that the license plate will be "EAHS"? *
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1/36
1/58,905
1/1,413,720
1/1,500,625
1/1,679,616

Respuesta :

Answer:

First, we need to know how many possibilities we have in each position.

We know there can go any letter to A - Z (26 possibilities) and any number to 0-9 (10 possibilities).

Now, we can sum the possibilities we have at each position (as there are the same at all):

26 + 10 = 36 possibilities

Now, we know how many possibilities there are for each position and we need to calculate the total one, so, if there are 4 position and each of them has 36 possibilities, we only need to multiply 36 four times, so it's [tex]36^4[/tex]

The result of doing this is 1679616

so, the possibility to get that or any plate is 1/1679616