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Which event is least likely to occur? Rolling a number less than 6 on a twelve-sided die, numbered from 1 to 12. Spinning a spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on blue. Winning a raffle that sold a total of 100 tickets, if you buy 65 tickets. Reaching into a bag full of 44 strawberry chews and 16 cherry chews without looking and pulling out a strawberry chew.

Which event is least likely to occur?\newlineRolling a number less than 66 on a twelve-sided die, numbered from 11 to 1212.\newlineSpinning a spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on blue.\newlineWinning a raffle that sold a total of 100100 tickets, if you buy 6565 tickets.\newlineReaching into a bag full of 4444 strawberry chews and 1616 cherry chews without looking and pulling out a strawberry chew.

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Q. Which event is least likely to occur?\newlineRolling a number less than 66 on a twelve-sided die, numbered from 11 to 1212.\newlineSpinning a spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on blue.\newlineWinning a raffle that sold a total of 100100 tickets, if you buy 6565 tickets.\newlineReaching into a bag full of 4444 strawberry chews and 1616 cherry chews without looking and pulling out a strawberry chew.
  1. Calculate Probability of Rolling: Calculate the probability of rolling a number less than 66 on a twelve-sided die.\newlineThere are 55 numbers less than 66 (11, 22, 33, 44, 55) on a twelve-sided die.\newlineProbability = Number of favorable outcomes / Total number of outcomes\newlineProbability = 512\frac{5}{12}
  2. Calculate Probability of Spinning: Calculate the probability of spinning the spinner and landing on blue.\newlineThere are 44 equal sections, so the probability of landing on any one color is the same.\newlineProbability =14= \frac{1}{4}
  3. Calculate Probability of Winning: Calculate the probability of winning a raffle after buying 6565 out of 100100 tickets.\newlineProbability == Number of tickets you have // Total number of tickets\newlineProbability =65100= \frac{65}{100}
  4. Calculate Probability of Pulling: Calculate the probability of reaching into a bag and pulling out a strawberry chew. There are 4444 strawberry chews and 1616 cherry chews, making a total of 6060 chews. Probability =Number of strawberry chewsTotal number of chews=4460= \frac{\text{Number of strawberry chews}}{\text{Total number of chews}} = \frac{44}{60} Probability can be simplified by dividing both numerator and denominator by 44. Probability =1115= \frac{11}{15}
  5. Compare Probabilities: Compare the probabilities to determine the least likely event.\newlineRolling a number less than 66: 512≈0.4167\frac{5}{12} \approx 0.4167\newlineSpinning and landing on blue: 14=0.25\frac{1}{4} = 0.25\newlineWinning the raffle: 65100=0.65\frac{65}{100} = 0.65\newlinePulling out a strawberry chew: 1115≈0.7333\frac{11}{15} \approx 0.7333\newlineThe event with the smallest probability is spinning the spinner and landing on blue.

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