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Which event is most likely to occur? Rolling a number greater than 4 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 yellow or green. Winning a raffle that sold a total of 100 tickets, if you buy 40 tickets. Reaching into a bag full of 16 strawberry chews and 44 cherry chews without looking and pulling out a strawberry chew.

Which event is most likely to occur?\newlineRolling a number greater than 44 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 yellow or green.\newlineWinning a raffle that sold a total of 100100 tickets, if you buy 4040 tickets.\newlineReaching into a bag full of 1616 strawberry chews and 4444 cherry chews without looking and pulling out a strawberry chew.

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Q. Which event is most likely to occur?\newlineRolling a number greater than 44 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 yellow or green.\newlineWinning a raffle that sold a total of 100100 tickets, if you buy 4040 tickets.\newlineReaching into a bag full of 1616 strawberry chews and 4444 cherry chews without looking and pulling out a strawberry chew.
  1. Event 11 Analysis: Let's analyze each event to determine its probability of occurring.\newlineEvent 11: Rolling a number greater than 44 on a twelve-sided die, numbered from 11 to 1212.\newlineThe numbers greater than 44 on a twelve-sided die are 5,6,7,8,9,10,11,5, 6, 7, 8, 9, 10, 11, and 1212. There are 88 possible outcomes that satisfy the condition out of 1212 possible outcomes in total.\newlineProbability of Event 11 = Number of favorable outcomes / Total number of outcomes = 812=23\frac{8}{12} = \frac{2}{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 yellow or green.\newlineThere are 44 favorable outcomes (red, blue, yellow, green) out of 55 possible outcomes.\newlineProbability of Event 22 = Number of favorable outcomes / Total number of outcomes = 45\frac{4}{5}
  3. Event 33 Analysis: Event 33: Winning a raffle that sold a total of 100100 tickets, if you buy 4040 tickets.\newlineThe probability of winning the raffle is the number of tickets you have divided by the total number of tickets sold.\newlineProbability of Event 33 = Number of your tickets / Total number of tickets = 40100\frac{40}{100} = 25\frac{2}{5}
  4. Event 44 Analysis: Event 44: Reaching into a bag full of 1616 strawberry chews and 4444 cherry chews without looking and pulling out a strawberry chew.\newlineThe total number of chews is 1616 (strawberry) + 4444 (cherry) = 6060.\newlineThe probability of pulling out a strawberry chew is the number of strawberry chews divided by the total number of chews.\newlineProbability of Event 44 = Number of strawberry chews / Total number of chews = 1660\frac{16}{60} = 415\frac{4}{15}
  5. Comparison and Conclusion: Now, let's compare the probabilities to determine which event is most likely to occur.\newlineProbability of Event 11 = 23≈0.6667\frac{2}{3} \approx 0.6667\newlineProbability of Event 22 = 45=0.8\frac{4}{5} = 0.8\newlineProbability of Event 33 = 25=0.4\frac{2}{5} = 0.4\newlineProbability of Event 44 = 415≈0.2667\frac{4}{15} \approx 0.2667\newlineThe event with the highest probability is Event 22, spinning a spinner and landing on red, blue, yellow, or green.

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