[{"data":1,"prerenderedAt":31},["ShallowReactive",2],{"options:asyncdata:2i7awcroby39l":3},{"state":4,"puzzle":5,"loading":30},"open",{"id":6,"title":7,"category":8,"difficulty":9,"access":10,"tags":11,"prompt":13,"options":14,"hints":27},"shared-birthday","A Shared Birthday","probability","easy","free",[12],"counting","Ignoring leap years and assuming every birthday is equally likely, what is the smallest group size for which the chance that at least two people share a birthday is above 50%?",[15,18,21,24],{"id":16,"text":17},"a","22",{"id":19,"text":20},"b","183",{"id":22,"text":23},"c","57",{"id":25,"text":26},"d","23",[28,29],"Work out the chance that everyone has a different birthday.","It is the product (365\u002F365)(364\u002F365)(363\u002F365)… for each new person.",false,1793569845903]