double trouble

[topaz]

Morgan's homework today included this problem (reproduced here verbatim):

If you have one dice with the numbers 1, 2, 3, 4, 5, and 6. Expressed as a fraction, what is the probability of rolling a double (2 of the same number) in 25 rolls?

The probability that at least one number will come up twice is clearly 100%.  We're assuming that they're asking for the probability that at some point two consecutive rolls will turn up the same number.

This seems like a remarkably sophisticated problem to assign a sixth-grader.  It looks like it would have been a reasonable problem for my probability midterm in high school.  Does anyone here disagree?

Edit: The problem was not made up or handwritten by the math teacher -- it was submitted as part of a Math 4 Today handout that he gets assigned on a weekly basis.  For better or for worse, this was part of a standard curriculum math workbook.  (And they wonder is our children learning anything!)

Comments

[rsc.livejournal.com]

Escalating a bit from others' remarks, I'd be seriously disturbed by the idea that a teacher would actually write that first sentence fragment in something to be handed out to students (or, if the teacher didn't write it, that they would hand it out unedited).

[qwrrty.livejournal.com]

Perhaps horrifyingly, it is not something the teacher wrote but something that was printed out from a standardized math workbook.