Not a dog’s chance, or one more impenetrable etymology
Unlike tyke, bitch can boast of respectable ancestors, because its Old English form (bicce) has been recorded. The Oxford Dictionary of English Etymology notes that bicce is obscurely related to Old Icelandic bikkja (the same meaning). The OED online never uses the phrase obscurely related, and this is a good thing, for this verbal formula, which so often occurred in the past, is itself obscure.