• Word Problems

Probability Word Problems

Probability problems ask you to figure out the chances of something happening — drawing a red marble from a bag, rolling a certain sum with two dice, or selecting a committee with specific characteristics. What makes these tricky isn't usually the math itself (which often comes down to counting and dividing) but correctly identifying what you're counting. You need to distinguish between "and" (multiply) and "or" (add), between "with replacement" and "without replacement," and between situations where order matters (permutations) and where it doesn't (combinations). Getting these distinctions wrong is easy and gives you an answer that feels right but isn't, which is exactly why these problems are so valuable for building mathematical reasoning.