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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 five equal-sized sections colored red/green/yellow/blue/purple and landing on some color. Winning a raffle that sold a total of 100 tickets, if you buy 11 tickets. Reaching into a bag full of 18 strawberry chews and 2 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 five equal-sized sections colored red/green/yellow/blue/purple and landing on some color.\newlineWinning a raffle that sold a total of 100100 tickets, if you buy 1111 tickets.\newlineReaching into a bag full of 1818 strawberry chews and 22 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 five equal-sized sections colored red/green/yellow/blue/purple and landing on some color.\newlineWinning a raffle that sold a total of 100100 tickets, if you buy 1111 tickets.\newlineReaching into a bag full of 1818 strawberry chews and 22 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 a spinner divided into five equal-sized sections and landing on some color.\newlineSince there are five sections and each is equally likely, the probability of landing on any one color is the same.\newlineProbability = 15\frac{1}{5}
  3. Calculate Probability of Winning: Calculate the probability of winning a raffle that sold a total of 100100 tickets, if you buy 1111 tickets.\newlineProbability = Number of tickets you have / Total number of tickets\newlineProbability = 11100\frac{11}{100}
  4. Calculate Probability of Pulling Out: Calculate the probability of reaching into a bag full of 1818 strawberry chews and 22 cherry chews without looking and pulling out a strawberry chew.\newlineProbability = Number of strawberry chews / Total number of chews\newlineProbability = 1818+2\frac{18}{18 + 2}\newlineProbability = 1820\frac{18}{20}\newlineProbability = 910\frac{9}{10}
  5. Compare Probabilities: Compare the probabilities to determine the least likely event.\newlineRolling a number less than 66 on a twelve-sided die: 512\frac{5}{12}\newlineSpinning a spinner and landing on some color: 15\frac{1}{5}\newlineWinning a raffle with 1111 tickets: 11100\frac{11}{100}\newlinePulling out a strawberry chew: 910\frac{9}{10}\newlineConvert all probabilities to decimals for easier comparison:\newlineRolling a number less than 66 on a twelve-sided die: 0.41670.4167\newlineSpinning a spinner and landing on some color: 0.20.2\newlineWinning a raffle with 1111 tickets: 0.110.11\newlinePulling out a strawberry chew: 0.90.9\newlineThe smallest decimal represents the least likely event.
  6. Identify Least Likely Event: Identify the least likely event based on the smallest probability.\newlineRolling a number less than 66 on a twelve-sided die: 0.41670.4167\newlineSpinning a spinner and landing on some color: 0.20.2\newlineWinning a raffle with 1111 tickets: 0.110.11\newlinePulling out a strawberry chew: 0.90.9\newlineThe least likely event is winning a raffle with 1111 tickets, which has a probability of 0.110.11.

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