Table
Method with Four Tiles (Grades 5-6)
(Listing all of the possible 3-number combinations that can
be drawn; highlighting the outcomes of 5.)
There are 64 possible 3-number (3-draw
number) combinations. Of these 64
possible three-draws, 12 end up with an outcome of 5 (i.e., the two highest
numbers add to 5). The possibility of
obtaining an outcome of 5 is 12/64 or 3/16.
|
111 112 113 114 |
211 212 213 214 |
311 312 313 314 |
411 412 413 414 |
|
121 122 123 124 |
221 222 223 224 |
321 322 323 324 |
421 422 423 424 |
|
131 132 133 134 |
231 232 233 234 |
331 332 333 334 |
431 432 433 434 |
|
141 142 143 144 |
241 242 243 244 |
341 342 343 344 |
441 442 443 444 |
(Determining the possible 3-number combinations by
calculation;
determining the number of outcomes of 5 by reasoning and calculating.)
Total
number of 3-number combinations possible:
4
x 4 x 4 = 64
Total
number of outcomes of 5 possible:
The
possible combinations of 3 numbers that could be combined to get a 5 from the
highest two draws are:
These
6 trios of numbers can, now, be accomplished in different orders, as follows:
411: 411, 141, 114 (3
ways)
322: 322,
232, 223 (3
ways)
321: 321. 312, 231, 213,
123, 132 +
(6 ways)
12
ways
Out
of the 64 possible 3-number combinations (tiles draws), 12 will result in an
outcome of 5. 12/64 or 3/16
is the probability of obtaining an outcome of 5.