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Which of these contexts describes a situation that is certain?
Rolling a number less than 6 on a standard six-sided die, numbered from 1 to 6.
Spinning a spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on orange.
Winning a raffle that sold a total of 100 tickets if you bought all the tickets.
Reaching into a bag full of 10 strawberry chews and 10 cherry chews without looking and pulling out an orange chew.

Which of these contexts describes a situation that is certain?\newlineRolling a number less than 66 on a standard six-sided die, numbered from 11 to 66.\newlineSpinning a spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on orange.\newlineWinning a raffle that sold a total of 100100 tickets if you bought all the tickets.\newlineReaching into a bag full of 1010 strawberry chews and 1010 cherry chews without looking and pulling out an orange chew.

Full solution

Q. Which of these contexts describes a situation that is certain?\newlineRolling a number less than 66 on a standard six-sided die, numbered from 11 to 66.\newlineSpinning a spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on orange.\newlineWinning a raffle that sold a total of 100100 tickets if you bought all the tickets.\newlineReaching into a bag full of 1010 strawberry chews and 1010 cherry chews without looking and pulling out an orange chew.
  1. Rolling a Number: Analyze the first context: Rolling a number less than 66 on a standard six-sided die, numbered from 11 to 66. Reasoning: A standard six-sided die has numbers 11 through 66. Rolling a number less than 66 means rolling either a 11, 22, 33, 44, or 1100. Calculation: There are 1100 possible outcomes (11, 22, 33, 44, or 1100) that are less than 66. Math error check:
  2. Spinning a Spinner: Analyze the second context: Spinning a spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on orange.\newlineReasoning: The spinner does not have an orange section.\newlineCalculation: There is no section for orange, so it is impossible to land on orange.\newlineMath error check:
  3. Winning a Raffle: Analyze the third context: Winning a raffle that sold a total of 100100 tickets if you bought all the tickets.\newlineReasoning: If you have purchased all the tickets in the raffle, you are the only participant.\newlineCalculation: Owning all 100100 tickets means you have a 100%100\% chance of winning.\newlineMath error check:
  4. Pulling from a Bag: Analyze the fourth context: Reaching into a bag full of 1010 strawberry chews and 1010 cherry chews without looking and pulling out an orange chew.\newlineReasoning: The bag only contains strawberry and cherry chews.\newlineCalculation: There are no orange chews in the bag, so it is impossible to pull out an orange chew.\newlineMath error check:
  5. Determining Certainty: Determine which context describes a situation that is certain.\newlineReasoning: A certain event is one that is guaranteed to happen. Among the given contexts, the only situation where the outcome is guaranteed is when you have bought all the tickets in a raffle.\newlineCalculation: No calculation needed for this step.\newlineMath error check:

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