Still experimenting

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abdulhakeem 2025-01-30 23:44:12 -06:00
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{
"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%.
The chance of rolling one even number is 50%, so the chance of rolling two in a row is 50% * 50% = 25%.
The difference between these two probabilities is 50% - 25% = 25%.
#### 25",
"id_orig": 184,
"id_shuffled": 2,
"question_annotated": "{name} is rolling a {sides} die. How much more likely is it (expressed as a percentage) that he rolls a number greater than {target} than that he rolls two {z} numbers in a row?
#init:
- name=sample(names_male)
- $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)
- $target = range(1, 20)
- z = sample([\"even\", \"odd\"])
#conditions:
- target < sides
- divides(sides-target, target)
- is_int((sides-target)/sides * 100)
- int((sides-target)/sides * 100) > 25
#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)}%.
The chance of rolling one {z} number is 50%, so the chance of rolling two in a row is 50% * 50% = 25%.
The difference between these two probabilities is {int((sides-target)/sides * 100)}% - 25% = { int((sides-target)/sides * 100) - 25}%.
#### { int((sides-target)/sides * 100) - 25}"
}