when is Cheryl's birthday?
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Albert is only told the month, so he's
thinking of May, June, July or August. Meanwhile, Bernard only knows the day, so he's thinking 14, 15, 16, 17, 18 or 19.Then we get the first line.
Albert: I don’t know when Cheryl’s birthday is, but I know that Bernard doesn’t know too.Since each month has more than one date in it, Albert can't know Cheryl's birthday. But the key part of the statement is the second part.Because Bernard is only able to know the date if the day was 18 or 19 - because those are the only single dates of the ten options.
Albert himself must have been told July or August because that disqualifies the 18 and 19 days that Bernard supposedly knows.The second line then comes in.
Bernard: At first I don’t know when Cheryl’s birthday is, but now I knowFor his part, Bernard has figured outthat Albert has been told either July or August.And we then know that he must have been told 15, 16 or 17 becauseif he had been told 14 he wouldn't know if the month was August or July. Because 15, 16 and 17 each refer to one month but 14 could be either.
The third line wraps it up.
Albert: Then I also know when Cheryl’s birthday is.Albert now knows that the possible dates are August 15, August 17 and July 16.And we know that he must have been told July, because if he had been told August he wouldn't know if it was on the 17th or the 15th.So we arrive at July 16. Happy birthday, Cheryl.
thinking of May, June, July or August. Meanwhile, Bernard only knows the day, so he's thinking 14, 15, 16, 17, 18 or 19.Then we get the first line.
Albert: I don’t know when Cheryl’s birthday is, but I know that Bernard doesn’t know too.Since each month has more than one date in it, Albert can't know Cheryl's birthday. But the key part of the statement is the second part.Because Bernard is only able to know the date if the day was 18 or 19 - because those are the only single dates of the ten options.
Albert himself must have been told July or August because that disqualifies the 18 and 19 days that Bernard supposedly knows.The second line then comes in.
Bernard: At first I don’t know when Cheryl’s birthday is, but now I knowFor his part, Bernard has figured outthat Albert has been told either July or August.And we then know that he must have been told 15, 16 or 17 becauseif he had been told 14 he wouldn't know if the month was August or July. Because 15, 16 and 17 each refer to one month but 14 could be either.
The third line wraps it up.
Albert: Then I also know when Cheryl’s birthday is.Albert now knows that the possible dates are August 15, August 17 and July 16.And we know that he must have been told July, because if he had been told August he wouldn't know if it was on the 17th or the 15th.So we arrive at July 16. Happy birthday, Cheryl.
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july 16. as i think so. happy birthday cheryl.
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