Math worksheet on spinner probability with critical thinking questions.

1. 1/8
2. 3/8
3. 9/64
4. $50 + $50 + $100; $75 + $25 + $100; $100 + $100 + $0; $150 + $50 + $0; $85 + $75 + $40 (invalid, no $40); $500 + $0 + $-300 (invalid); valid combinations: $50+$50+$100, $75+$25+$100, $100+$100+$0, $150+$50+$0, $85+$75+$40 (invalid), $500+$0+$-300 (invalid) — only the first four are valid. Correction: The valid combinations summing to $200 are: ($50, $50, $100), ($75, $25, $100), ($100, $100, $0), ($150, $50, $0), ($85, $75, $40) is invalid, so only four. But $85 + $75 + $40 isn’t possible. Also $25 + $75 + $100 already listed. What about $0 + $50 + $150? Already have. $0 + $100 + $100? Have. So the distinct sets (order doesn’t matter) are: {50,50,100}, {75,25,100}, {100,100,0}, {150,50,0}. That’s four. But also {85, 85, 30} invalid. So only those four. However, if order matters, each set has permutations. But the question says “name all the possible ways”, likely meaning combinations of values regardless of order. So: $50, $50, $100; $75, $25, $100; $100, $100, $0; $150, $50, $0.
5. 0 (since maximum per spin is $500, but after earning $250 in two spins, the third spin can be at most $500, making total $750, which is greater than $300 — wait, the question is “greater than $300”. Since you already have $250, any third spin amount ≥ $51 will make total > $300. Possible third spin amounts: $0, $25, $50, $75, $85, $100, $150, $500. All except $0 and $25 are ≥$51. So amounts that work: $50, $75, $85, $100, $150, $500 → 6 out of 8. So probability = 6/8 = 3/4.
6. A) $0
B) 1/8
C) $1500
D) 1/512