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Which of these contexts describes a situation that is unlikely?
Rolling a multiple of 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 green or red or blue.
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 a banana chew.

Which of these contexts describes a situation that is unlikely?\newlineRolling a multiple of 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 green or red or blue.\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 a banana chew.

Full solution

Q. Which of these contexts describes a situation that is unlikely?\newlineRolling a multiple of 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 green or red or blue.\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 a banana chew.
  1. Rolling a Multiple of 66: Analyze the first context - Rolling a multiple of 66 on a standard six-sided die, numbered from 11 to 66. A standard six-sided die has the numbers 11 through 66. The only multiple of 66 on the die is the number 66 itself. Therefore, there is a 11 in 66 chance of rolling a multiple of 66.
  2. Spinning a Colored Spinner: Analyze the second context - Spinning a spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on green or red or blue.\newlineSince the spinner is divided into four equal sections and you can land on three of the four colors, there is a 34\frac{3}{4} chance of landing on either green, red, or blue.
  3. Winning a Raffle: Analyze the third context - Winning a raffle that sold a total of 100100 tickets if you bought all the tickets.\newlineIf you bought all 100100 tickets in a raffle, you are guaranteed to win because you hold every possible winning ticket. The chance of winning is 100100\%.
  4. Pulling Out a Banana Chew: Analyze the fourth context - Reaching into a bag full of 1010 strawberry chews and 1010 cherry chews without looking and pulling out a banana chew.\newlineSince the bag only contains strawberry and cherry chews, there are no banana chews to pull out. Therefore, the probability of pulling out a banana chew is 0%0\%.
  5. Identifying Unlikely Situation: Determine which context describes an unlikely situation.\newlineThe first context has a small but possible chance of occurring. The second context has a high chance of occurring. The third context is certain to occur. The fourth context is impossible to occur because the item in question is not present in the bag. Therefore, the fourth context describes an unlikely situation.

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