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Which event is least likely to occur? Rolling a 1 on a 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. Winning a raffle that sold a total of 100 tickets, if you buy 44 tickets. Reaching into a bag full of 26 strawberry chews and 14 cherry chews without looking and pulling out a strawberry chew.

Which event is least likely to occur?\newlineRolling a 11 on a 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.\newlineWinning a raffle that sold a total of 100100 tickets, if you buy 4444 tickets.\newlineReaching into a bag full of 2626 strawberry chews and 1414 cherry chews without looking and pulling out a strawberry chew.

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Q. Which event is least likely to occur?\newlineRolling a 11 on a 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.\newlineWinning a raffle that sold a total of 100100 tickets, if you buy 4444 tickets.\newlineReaching into a bag full of 2626 strawberry chews and 1414 cherry chews without looking and pulling out a strawberry chew.
  1. Calculate Probability of Rolling a 11: Calculate the probability of rolling a 11 on a six-sided die. The die has 66 sides, so the probability of rolling a 11 is 11 out of 66. Probability = 16\frac{1}{6}
  2. Calculate Probability of Spinning Red or Yellow: Calculate the probability of spinning red or yellow on a spinner divided into four equal sections.\newlineThere are 44 sections, and 22 of them are favorable outcomes (red or yellow).\newlineProbability =24=12= \frac{2}{4} = \frac{1}{2}
  3. Calculate Probability of Winning Raffle: Calculate the probability of winning a raffle with 4444 tickets out of 100100 sold.\newlineYou have 4444 tickets, and there are 100100 tickets in total.\newlineProbability = 44100\frac{44}{100}
  4. Calculate Probability of Pulling Strawberry Chew: Calculate the probability of pulling out a strawberry chew from a bag with 2626 strawberry chews and 1414 cherry chews.\newlineThere are 2626 strawberry chews and 1414 cherry chews, so there are 26+14=4026 + 14 = 40 chews in total.\newlineProbability = 2640=1320\frac{26}{40} = \frac{13}{20}
  5. Compare Probabilities to Determine Least Likely Event: Compare the probabilities to determine the least likely event.\newlineRolling a 11 on a die: 16≈0.1667\frac{1}{6} \approx 0.1667\newlineSpinning red or yellow: 12=0.5\frac{1}{2} = 0.5\newlineWinning the raffle: 44100=0.44\frac{44}{100} = 0.44\newlinePulling out a strawberry chew: 1320=0.65\frac{13}{20} = 0.65\newlineThe event with the smallest probability is rolling a 11 on a six-sided die.

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