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Which event is most likely to occur? Rolling an odd 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 red or blue or green. Winning a raffle that sold a total of 100 tickets, if you buy 41 tickets. Reaching into a bag full of 33 strawberry chews and 7 cherry chews without looking and pulling out a strawberry chew.

Which event is most likely to occur?\newlineRolling an odd 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 red or blue or green.\newlineWinning a raffle that sold a total of 100100 tickets, if you buy 4141 tickets.\newlineReaching into a bag full of 3333 strawberry chews and 77 cherry chews without looking and pulling out a strawberry chew.

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Q. Which event is most likely to occur?\newlineRolling an odd 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 red or blue or green.\newlineWinning a raffle that sold a total of 100100 tickets, if you buy 4141 tickets.\newlineReaching into a bag full of 3333 strawberry chews and 77 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 odd number on a twelve-sided die.\newlineThere are 66 odd numbers (11, 33, 55, 77, 99, 1111) on a twelve-sided die.\newlineProbability of rolling an odd number = Number of odd outcomes / Total number of outcomes\newline= 6/126 / 12\newline= 1/21 / 2
  2. Event 22 Analysis: Event 22: Spinning a spinner divided into five equal-sized sections and landing on red or blue or green.\newlineThere are 33 favorable outcomes (red, blue, green) out of 55 possible outcomes.\newlineProbability of landing on red or blue or green = Number of favorable outcomes / Total number of outcomes\newline= 35\frac{3}{5}
  3. Event 33 Analysis: Event 33: Winning a raffle that sold a total of 100100 tickets, if you buy 4141 tickets.\newlineProbability of winning the raffle = Number of tickets you have / Total number of tickets\newline= 41100\frac{41}{100}
  4. Event 44 Analysis: Event 44: Reaching into a bag with 3333 strawberry chews and 77 cherry chews 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=33(33+7)= \frac{33}{(33 + 7)}\newline=3340= \frac{33}{40}
  5. Comparison: Now, let's compare the probabilities to determine which event is most likely to occur.\newlineEvent 11: Probability = 12=0.5\frac{1}{2} = 0.5\newlineEvent 22: Probability = 35=0.6\frac{3}{5} = 0.6\newlineEvent 33: Probability = 41100=0.41\frac{41}{100} = 0.41\newlineEvent 44: Probability = 3340=0.825\frac{33}{40} = 0.825\newlineThe event with the highest probability is Event 44, pulling out a strawberry chew.

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