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    Tshiamogetse's Avatar
    Tshiamogetse Posts: 1, Reputation: 1
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    #1

    Oct 18, 2010, 09:50 AM
    questions about probability
    What is the probability of being born on:
    a) the 10th of a month in a non-leap year
    b) christmas day in a non-leap year
    c) the 29th February
    Unknown008's Avatar
    Unknown008 Posts: 8,076, Reputation: 723
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    #2

    Oct 18, 2010, 09:58 AM

    a) First, you need to be born on a non-leap year. What is this probability?
    Then, you need to find the probability of being born on a 10th. How many 10th's are there in the number of non-leap years you chose in your probability?
    Multiply those together to find the combined probability.

    Can you try out the two others using the same principle?
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #3

    Oct 18, 2010, 10:53 AM

    I think (a) is a little simpler than what Unknown008 laid out. I believe what the OP means to ask is: if you are born in a non-leap year, what's the probability of being born on the 10th day of a month? To do this, first consider: how many 10th days of a month occur in a year? Second, how many days are in a non-leap year? Then divide the first by the second.

    As for (c) - it could get a bit complicated, unless you make an assumption that leap years occur every 4th year. Feb 29 comes around once every 4 years, and the number of days in 4 years is 4 x 365 + 1 for the leap year. However, to truly get this right you should consider that in each span of 400 years there are three "missing" leap years - namely in those years that are divisible by 100 but not divisible by 400. Thus 1900 was not a leap year, but 2000 was. So over the course of 400 years there are 97 leap years, and the number of days in 400 years is 400 x 365 + 97.

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