Respuesta :
Since repetition is allowed, there are 10(10)(10) choices available; 10 for the first digit, 10 for the second digit, and 10 for the third digit, coming out to a possible 1000 combinations. The probability of getting the 1 correct on the first try would be 1/1000.
The probability of a correct guess on the first try will be [tex]0.001[/tex] .
What is Probability ?
Probability is the ratio of number of favorable outcome to the
i.e. Probability [tex]P(E)=\frac{number\ of\ favorable\ outcome}{Total\ number\ of\ outcomes.}[/tex]
We have,
An ATM Card having three-digit code.
Repetition of digits is allowed.
So,
As Repetition is allowed, and we have [tex]10-[/tex]key keypad, and have to guess [tex]3[/tex] digit code,
Then
Total number of outcomes [tex]=10*10*10=1000[/tex]
And
Number of favorable outcome [tex]=1[/tex]
So,
Probability [tex]P(E)=\frac{number\ of\ favorable\ outcome}{Total\ number\ of\ outcomes.}[/tex]
[tex]P(E)=\frac{1}{1000}[/tex]
[tex]P(E)=0.001[/tex]
So, the Probability of correct guess is [tex]0.001[/tex] .
Hence, we can say that the probability of a correct guess on the first try is [tex]0.001[/tex] .
To know more about probability click here
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