senora1209p8ouvj senora1209p8ouvj
  • 18-01-2019
  • Mathematics
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A code consist of a two digit number chosen from 00 to 49 followed by a letter of the alphabet. What is the probability the code is 14z?

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Sicista Sicista
  • 27-01-2019

Answer:

The probability that code is [tex]14z[/tex] will be [tex]\frac{1}{1300}[/tex]

Step-by-step explanation:

From 00 to 49, there are total 50 two-digit numbers.

The total number of alphabets is 26.

So, the probability of choosing 14 from all 50 two digit numbers will be:  [tex]\frac{1}{50}[/tex]

and the probability of choosing '[tex]z[/tex]' from all 26 alphabets will be: [tex]\frac{1}{26}[/tex]

Thus, the probability that code is [tex]14z[/tex] is [tex]= \frac{1}{50}\times \frac{1}{26}=\frac{1}{1300}[/tex]

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