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Which event is most likely to occur? Rolling a multiple of 3 on a six-sided die, numbered from 1 to 6 . 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 91 tickets. Reaching into a bag full of 7 strawberry chews and 33 cherry chews without looking and pulling out a strawberry chew.

Which event is most likely to occur?\newlineRolling a multiple of 33 on a six-sided die, numbered from 11 to 66 .\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 9191 tickets.\newlineReaching into a bag full of 77 strawberry chews and 3333 cherry chews without looking and pulling out a strawberry chew.

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Q. Which event is most likely to occur?\newlineRolling a multiple of 33 on a six-sided die, numbered from 11 to 66 .\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 9191 tickets.\newlineReaching into a bag full of 77 strawberry chews and 3333 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 a multiple of 33 on a six-sided die, numbered from 11 to 66.\newlineThe multiples of 33 in this range are 33 and 66. So there are 22 favorable outcomes out of 66 possible outcomes.\newlineProbability of rolling a multiple of 33 = Number of favorable outcomes / Total number of outcomes = 26=13\frac{2}{6} = \frac{1}{3}.
  2. Event 22 Analysis: Event 22: Spinning a spinner divided into five equal-sized sections colored red/green/yellow/blue/purple 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, blue, or green = Number of favorable outcomes / Total number of outcomes = 35\frac{3}{5}.
  3. Event 33 Analysis: Event 33: Winning a raffle that sold a total of 100100 tickets, if you buy 9191 tickets.\newlineThe probability of winning is the number of tickets you have over the total number of tickets.\newlineProbability of winning the raffle = Number of tickets you have / Total number of tickets = 91100\frac{91}{100}.
  4. Event 44 Analysis: Event 44: Reaching into a bag full of 77 strawberry chews and 3333 cherry chews without looking and pulling out a strawberry chew.\newlineThere are 77 favorable outcomes (strawberry chews) out of 4040 total chews (77 strawberry + 3333 cherry).\newlineProbability of pulling out a strawberry chew = Number of favorable outcomes / Total number of outcomes = 740\frac{7}{40}.
  5. Comparison of Probabilities: Now, let's compare the probabilities of each event to determine which is most likely to occur.\newlineEvent 11: Probability = 13≈0.333...\frac{1}{3} \approx 0.333...\newlineEvent 22: Probability = 35=0.6\frac{3}{5} = 0.6\newlineEvent 33: Probability = 91100=0.91\frac{91}{100} = 0.91\newlineEvent 44: Probability = 740=0.175\frac{7}{40} = 0.175\newlineThe event with the highest probability is Event 33, with a probability of 0.910.91.

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