In the given statement is:
The Personal identification numbers (pins) for automatic teller machines (atms) usually consist of four digits. suppose pins are assigned at random so that all 4-digit numbers are equally likely.
To find probability that a pin assigned at random has at least one 0
To create a PIN that doesn't include any zeroes means choosing each digit from among the 9 non - zero digits. The number of such PINs is
[tex]9^{4}[/tex] = 6,561
The rest of the PINs must then include one or more zeroes, and the number of is
10,000 - 6,561 = 3, 439
If a PIN is chosen at random, the probability that it does include at least one zero is then the ratio
Hence, The final answer is : [tex]\frac{3,439}{10,00} = 0.3439[/tex]
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