1. ## Probability

This is not part of any homework, but an odd occurrence that happened within our family and I'd just like to find out what the chances/odds of this happening are:

We put (4) names all on separate tickets in a hat. Five people drew out of this hat. After each person drew, they put their ticket back in the hat. So each time someone drew, there were (4) names in the hat. The result was that all (5) people drew the same ticket and this seemed extremely rare/odd.

2. ## Re: Probability

The probability of this happening is one in 256, or about 0.39%.

To understand this answer, consider that it doesn’t matter which name the first person drew from the hat; however, the remaining four each had to draw that same name with a probability of 1 in 4, or 25%. Since all four draws had to be satisfied, the individual probabilities are compounded:

P = (1/4)×(1/4)×(1/4)×(1/4) = 1/256.

3. ## Re: Probability

Thank You! I'm sorry to bore with simple questions, but could you please tell me what .000976 is in fraction form?

4. ## Re: Probability

In lowest terms, 0.000976 = 61/62500.

5. ## Re: Probability

Yeah (cool), but to others used to 10 base, the following is a little more welcoming:

976/1,000,000

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