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Lena [83]
3 years ago
12

A student identification card consists

Mathematics
1 answer:
denis23 [38]3 years ago
6 0

Answer:

\frac{1}{30240}

Step-by-step explanation:

Given

ID Card of 5 digits

Possibly Digits = {0,1...,9}

Required

Probability that a card has exact number 94213

First, we have o determine the total possible number of ID card numbers

Let the card number be represented by ABCDE

Given that repetition of digits is not allowed;

<em>A can be any of 10 digits</em>

<em>B can any of the remaining 9 digits</em>

<em>C can be any of the remaining 8 digits</em>

<em>D can be any of the remaining 7 digits</em>

<em>E can be any of the remaining 6 digits</em>

<em />

Total number of cards = 10 * 9 *8 * 7 * 6

Total = 30240

Provided that the card number is generated at random; each card number has the same probability of \frac{1}{30240}

Hence, the probability of having 94213 is \frac{1}{30240}

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