{
  "question": "Jerry is rolling a six-sided die. How much more likely is it (expressed as a percentage) that he rolls a number greater than 3 than that he rolls two even numbers in a row?",
  "answer": "There are 3 numbers greater than 3 on the dice, so the chances of rolling one of them are 3 / 6 = 50%.\nThe chance of rolling one even number is 50%, so the chance of rolling two in a row is 50% * 50% = 25%.\nThe difference between these two probabilities is 50% - 25% = 25%.\n#### 25",
  "id_orig": 184,
  "id_shuffled": 2,
  "question_annotated": "{name,Jerry} is rolling a {sides,six-sided} die. How much more likely is it (expressed as a percentage) that he rolls a number greater than {target,3} than that he rolls two {z,even} numbers in a row?\n\n#init:\n- name=sample(names_male)\n- $sides = sample([(\"four-sided\", 4), (\"six-sided\", 6), (\"ten-sided\", 10), (\"twelve-sided\", 12), (\"twenty-sided\", 20), (\"d4\", 4),  (\"d6\", 6), (\"d8\", 8), (\"d10\", 10), (\"d12\", 12), (\"d20\", 20), (\"4-sided\", 4),  (\"6-sided\", 6), (\"8-sided\", 8), (\"10-sided\", 10), (\"12-sided\", 12), (\"20-sided\", 20) ] * 3)\n- $target = range(1, 20)\n- z = sample([\"even\", \"odd\"])\n\n#conditions: \n- target < sides\n- divides(sides-target, target)\n- is_int((sides-target)/sides * 100)\n-  int((sides-target)/sides * 100) > 25\n\n#answer: int((sides-target)/sides * 100) - 25",
  "answer_annotated": "There are {sides-target} numbers greater than {target} on the dice, so the chances of rolling one of them are {sides-target} / {sides} = {int((sides-target)/sides * 100)}%.\nThe chance of rolling one {z} number is 50%, so the chance of rolling two in a row is 50% * 50% = 25%.\nThe difference between these two probabilities is {int((sides-target)/sides * 100)}% - 25% = { int((sides-target)/sides * 100) - 25}%.\n#### { int((sides-target)/sides * 100) - 25}"
}