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

    Mar 29, 2011, 08:12 AM
    probability problems ?
    what is the probability that a non leap year chosen at random has
    a) 52 sundays
    b)53 sundays
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
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    #2

    Mar 29, 2011, 08:20 AM

    Part a is obvious.

    Part b is the same as asking if a non-leap year starts on a Sunday. There are 7 days in a week. Wouldn't it be 1/7?
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #3

    Mar 29, 2011, 08:26 AM

    Part a is no more obvious than part b. A non leap year has 365 days. Divide by 7 and you see that there are 52 weeks plus one extra day per year. So what is the probability that the extra day is a Sunday (part b), and the probability that the extra day is something other than a Sunday (part A)?

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