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Which event is least likely to occur? Rolling an even number 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 blue or red. Winning a raffle that sold a total of 100 tickets, if you buy 74 tickets. Reaching into a bag full of 2 strawberry chews and 18 cherry chews without looking and pulling out a strawberry chew.

Which event is least likely to occur?\newlineRolling an even number 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 blue or red.\newlineWinning a raffle that sold a total of 100100 tickets, if you buy 7474 tickets.\newlineReaching into a bag full of 22 strawberry chews and 1818 cherry chews without looking and pulling out a strawberry chew.

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Q. Which event is least likely to occur?\newlineRolling an even number 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 blue or red.\newlineWinning a raffle that sold a total of 100100 tickets, if you buy 7474 tickets.\newlineReaching into a bag full of 22 strawberry chews and 1818 cherry chews without looking and pulling out a strawberry chew.
  1. Event 11 Probability: Let's evaluate the probability of each event happening.\newlineEvent 11: Rolling an even number on a twelve-sided die, numbered from 11 to 1212.\newlineThere are 66 even numbers on a twelve-sided die (22, 44, 66, 88, 1010, 1212).\newlineProbability of rolling an even number = Number of even numbers / Total numbers on the die\newline= 6/126 / 12\newline= 121200
  2. Event 22 Probability: Event 22: Spinning a spinner divided into five equal-sized sections colored red/green/yellow/blue/purple and landing on blue or red.\newlineThere are 22 favorable outcomes (blue or red) out of 55 possible outcomes.\newlineProbability of landing on blue or red = Number of favorable outcomes / Total number of outcomes\newline= 25\frac{2}{5}
  3. Event 33 Probability: Event 33: Winning a raffle that sold a total of 100100 tickets, if you buy 7474 tickets.\newlineProbability of winning the raffle == Number of tickets you buy // Total number of tickets sold\newline== 74100\frac{74}{100}\newline=0.74= 0.74
  4. Event 44 Probability: Event 44: Reaching into a bag full of 22 strawberry chews and 1818 cherry chews without looking and pulling out a strawberry chew.\newlineProbability of pulling out a strawberry chew =Number of strawberry chewsTotal number of chews= \frac{\text{Number of strawberry chews}}{\text{Total number of chews}}\newline=22+18= \frac{2}{2 + 18}\newline=220= \frac{2}{20}\newline=110= \frac{1}{10}
  5. Comparison of Probabilities: Now, let's compare the probabilities to determine which event is least likely to occur.\newlineEvent 11: 12=0.5\frac{1}{2} = 0.5\newlineEvent 22: 25=0.4\frac{2}{5} = 0.4\newlineEvent 33: 0.740.74\newlineEvent 44: 110=0.1\frac{1}{10} = 0.1\newlineThe event with the smallest probability is the least likely to occur.
  6. Least Likely Event: The event with the smallest probability is Event 44, with a probability of 0.10.1 or 110\frac{1}{10}. Therefore, reaching into a bag full of 22 strawberry chews and 1818 cherry chews without looking and pulling out a strawberry chew is the least likely to occur.

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