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Which of these contexts describes a situation that is impossible?
Rolling an even number or an odd number 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 yellow or green.
Winning a raffle that sold a total of 100 tickets if you bought 50 tickets.
Reaching into a bag full of 1 strawberry chew and 19 cherry chews without looking and pulling out a lemon chew.

Which of these contexts describes a situation that is impossible?\newlineRolling an even number or an odd number 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 yellow or green.\newlineWinning a raffle that sold a total of 100100 tickets if you bought 5050 tickets.\newlineReaching into a bag full of 11 strawberry chew and 1919 cherry chews without looking and pulling out a lemon chew.

Full solution

Q. Which of these contexts describes a situation that is impossible?\newlineRolling an even number or an odd number 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 yellow or green.\newlineWinning a raffle that sold a total of 100100 tickets if you bought 5050 tickets.\newlineReaching into a bag full of 11 strawberry chew and 1919 cherry chews without looking and pulling out a lemon chew.
  1. Rolling Even or Odd: Let's analyze the first context: Rolling an even number or an odd number on a standard six-sided die, numbered from 11 to 66. A standard six-sided die has three even numbers (22, 44, 66) and three odd numbers (11, 33, 55). Therefore, any roll will result in either an even or an odd number.
  2. Spinning Color Sections: Now let's consider the second context: Spinning a spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on red or yellow or green. Since the spinner is divided into 44 sections and includes the colors red, green, and yellow, it is possible to land on any of these colors.
  3. Winning Raffle Probability: Next, let's evaluate the third context: Winning a raffle that sold a total of 100100 tickets if you bought 5050 tickets.\newlineIf you bought 5050 out of 100100 tickets, you have a 50%50\% chance of winning the raffle. It is not guaranteed, but it is certainly possible to win.
  4. Bag of Fruit Chews: Finally, let's examine the fourth context: Reaching into a bag full of 11 strawberry chew and 1919 cherry chews without looking and pulling out a lemon chew.\newlineSince the bag only contains strawberry and cherry chews, it is impossible to pull out a lemon chew from it.

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