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Which of these contexts describes a situation that is an equal chance or 50-50?
Rolling a number between 1 and 6 (including 1 and 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 red or green.
Winning a raffle that sold a total of 100 tickets if you bought 90 tickets.
Reaching into a bag full of 10 strawberry chews and 10 cherry chews without looking and pulling out a strawberry or a cherry chew.

Which of these contexts describes a situation that is an equal chance or 505050-50?\newlineRolling a number between 11 and 66 (including 11 and 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 red or green.\newlineWinning a raffle that sold a total of 100100 tickets if you bought 9090 tickets.\newlineReaching into a bag full of 1010 strawberry chews and 1010 cherry chews without looking and pulling out a strawberry or a cherry chew.

Full solution

Q. Which of these contexts describes a situation that is an equal chance or 505050-50?\newlineRolling a number between 11 and 66 (including 11 and 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 red or green.\newlineWinning a raffle that sold a total of 100100 tickets if you bought 9090 tickets.\newlineReaching into a bag full of 1010 strawberry chews and 1010 cherry chews without looking and pulling out a strawberry or a cherry chew.
  1. Standard Die Probability: In the first context, rolling a number between 11 and 66 on a standard six-sided die, each number has an equal chance of 16\frac{1}{6}, not 5050-5050.
  2. Spinner Probability: In the second context, spinning a spinner divided into four equal-sized sections and landing on red or green gives us two favorable outcomes out of four possible outcomes. This is a 505050-50 chance since the probability of landing on red or green is 24\frac{2}{4}, which simplifies to 12\frac{1}{2}.
  3. Raffle Probability: In the third context, winning a raffle with 9090 out of 100100 tickets gives a probability of 90100\frac{90}{100}, which is not equal to 505050-50 but rather 90%90\%.
  4. Bag Probability: In the fourth context, reaching into a bag with an equal number of strawberry and cherry chews (1010 each) gives us a total of 2020 chews. Pulling out either a strawberry or a cherry chew is certain since there are only those two types. Therefore, this does not represent a 5050-5050 chance but a certainty of 100%100\%.

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