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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 purple. Winning a raffle that sold a total of 100 tickets, if you buy 74 tickets. Reaching into a bag full of 6 strawberry chews and 14 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 purple.\newlineWinning a raffle that sold a total of 100100 tickets, if you buy 7474 tickets.\newlineReaching into a bag full of 66 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 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 purple.\newlineWinning a raffle that sold a total of 100100 tickets, if you buy 7474 tickets.\newlineReaching into a bag full of 66 strawberry chews and 1414 cherry chews without looking and pulling out a strawberry chew.
  1. Event 11 Analysis: Let's analyze each event to determine its probability.\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 (2,4,6,8,10,122, 4, 6, 8, 10, 12).\newlineProbability of rolling an even number = Number of even numbers / Total number of sides\newline= 612\frac{6}{12}\newline= 12\frac{1}{2}
  2. Event 22 Analysis: Event 22: Spinning a spinner divided into five equal-sized sections colored red/green/yellow/blue/purple and landing on purple.\newlineProbability of landing on purple == Number of purple sections / Total number of sections\newline=15= \frac{1}{5}
  3. Event 33 Analysis: 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 buyTotal number of tickets sold= \frac{\text{Number of tickets you buy}}{\text{Total number of tickets sold}}\newline=74100= \frac{74}{100}\newline=0.74= 0.74
  4. Event 44 Analysis: Event 44: Reaching into a bag full of 66 strawberry chews and 1414 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=6(6+14)= \frac{6}{(6 + 14)}\newline=620= \frac{6}{20}\newline=310= \frac{3}{10}\newline$= \(0\).\(3\)
  5. Comparison of Probabilities: Now, let's compare the probabilities to determine which event is least likely to occur.\(\newline\)Event \(1\): Probability = \(\frac{1}{2} = 0.5\)\(\newline\)Event \(2\): Probability = \(\frac{1}{5} = 0.2\)\(\newline\)Event \(3\): Probability = \(0.74\)\(\newline\)Event \(4\): Probability = \(0.3\)\(\newline\)The event with the smallest probability is the least likely to occur.
  6. Least Likely Event: The event with the smallest probability is Event \(2\), spinning the spinner and landing on purple, with a probability of \(0.2\) or \(\frac{1}{5}\).

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