Need Help with statistic question

[davidmav19]

A computer password must contain exactly 6 symbols. You can use the letters (case sensitive), 10 digits, and the characters ! @ # $ %.
Find the probability that your password will start with a capital letter.

[ichbin]

Okay, you are about to type the first character. How many choices to you have?

[Dragan]

A computer password must contain exactly 6 symbols. You can use the letters (case sensitive), 10 digits, and the characters ! @ # $ %.
Find the probability that your password will start with a capital letter.

David: You need only post your question once. Everyone can see it.

[davidmav19]

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1/67

[davidmav19]

Okay, you are about to type the first character. How many choices to you have?

1/67 choices for the first character.

[ichbin]

Okay, and how many of those are capitals?

With that, you will have solved the problem. The 6-character information is a red-herring, since the characters in each position are presumably indendent, unless the problem has instructed you to presume otherwise.

[davidmav19]

Okay, and how many of those are capitals?

With that, you will have solved the problem. The 6-character information is a red-herring, since the characters in each position are presumably indendent, unless the problem has instructed you to presume otherwise.

so the answer is 26/67?

[ichbin]

That would be my answer.

[davidmav19]

I have another question:


The probability that a Toyota car was a “lemon” in 2007 was .0355.

a) Find the probability that two randomly picked Toyotas were both ‘lemons’.
b) Find the probability a randomly picked Toyota was not a “lemon” in 2007.
c) If you pick two Toyotas, what was the probability that at least one of the picked Toyotas was a “lemon” in 2007?

[ichbin]

I would expect you to be able to make some progress on at least (a) and (b) independently. Why don't you describe what you think the solutions are for those, or at least what you thought the solutions would be but why you now think you were wrong.

[CowboyBear]

For some reason someone (user secrecy8) has used the Report function to offer an answer to OP's question in this thread (an incorrect answer, as it happens). Please just reply to the thread if you want to contribute, Report function is for reporting spam or abuse only.

[Link]

I have another question:


The probability that a Toyota car was a “lemon” in 2007 was .0355.

a) Find the probability that two randomly picked Toyotas were both ‘lemons’.
b) Find the probability a randomly picked Toyota was not a “lemon” in 2007.
c) If you pick two Toyotas, what was the probability that at least one of the picked Toyotas was a “lemon” in 2007?

Hint: Look into the binomial distribution.