<prompt> Fumana monyetla oa hore nomoro ea linomoro tse 4 e khethiloeng ho tloha ho 0 ho isa ho 9999 e ka aroloa ka 11.nan  <response>: Instruction in English: Determine the probability that a random 4-digit number chosen from 0 to 9999 is divisible by 11. . Response in English: A number is divisible by 11 if the difference between the sum of its digits in the odd positions and the sum of its digits in the even positions is divisible by 11. For instance, 3526 is divisible by 11 since 3 6 - 5 2 11 - 7 4 which is not divisible by 11.There is more than one way to approach this problem, but one simple method is to observe that for any such number abcd, we have abcd 1000a 100b 10c d, and so abcd mod 11 d - c b - a. Since a, b, c, d are all between 0 and 9, it follows that d - c b - a is between -18 and 18. There are 39 total numbers in this range, four of which 0, 11, -11, -22 for 0, 0, are divisible by 11. So there are 4 possible residue classes for any number that is divisible by 11.Since all numbers from 0 to 9999 inclusive are equally likely, it follows that the desired probability is 439. . Response in Sesotho: Palo e aroloa ka 11 haeba phapang lipakeng tsa kakaretso ea linomoro tsa eona maemong a sa tloaelehang le kakaretso ea linomoro tsa eona maemong a lekanang e aroloa ka 11. Mohlala, 3526 e aroloa ka 11 ho tloha 3 6 - 5 2 11 - 7 4 e ke keng ea aroloa ke 11. Ho na le mekhoa e fetang e le ngoe ea ho rarolla bothata bona, empa mokhoa o le mong o bonolo ke ho hlokomela hore bakeng sa palo leha e le efe e joalo ea abcd, re na le abcd 1000a 100b 10c d, me kahoo abcd mod 11 d - c b - a. Kaha a, b, c, d kaofela li pakeng tsa 0 le 9, ho latela hore d - c b - a e pakeng tsa -18 le 18. Ho na le lipalo tse 39 kaofela lethathamong lena, tse nè tsa tsona 0, 11, - 11, -22 bakeng sa 0, 0, li aroloa ka 11. Kahoo ho na le lihlopha tse 4 tse ka khonehang tsa masalla bakeng sa palo leha e le efe e arohanngoa ka 11. Kaha linomoro tsohle ho tloha ho 0 ho ea ho 9999 ho kenyeletsa ho ka etsahala ka ho lekana, ho latela hore palo e lakatsehang. monyetla ke 439. 