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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 green or purple. Winning a raffle that sold a total of 100 tickets, if you buy 48 tickets. Reaching into a bag full of 52 strawberry chews and 8 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 green or purple.\newlineWinning a raffle that sold a total of 100100 tickets, if you buy 4848 tickets.\newlineReaching into a bag full of 5252 strawberry chews and 88 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 green or purple.\newlineWinning a raffle that sold a total of 100100 tickets, if you buy 4848 tickets.\newlineReaching into a bag full of 5252 strawberry chews and 88 cherry chews without looking and pulling out a strawberry chew.
  1. Calculate Probability Twelve-Sided Die: Calculate the probability of rolling a number greater than 44 on a twelve-sided die.\newlineThere are 1212 possible outcomes when rolling a twelve-sided die. The numbers greater than 44 are 5,6,7,8,9,10,11,5, 6, 7, 8, 9, 10, 11, and 1212. There are 88 numbers greater than 44.\newlineProbability = Number of favorable outcomes / Total number of outcomes\newlineProbability = 812\frac{8}{12}\newlineProbability = 23\frac{2}{3}
  2. Calculate Probability Spinner: Calculate the probability of spinning green or purple on the spinner.\newlineThere are 55 equal-sized sections, so there are 55 possible outcomes. Green and purple are two of the outcomes.\newlineProbability == Number of favorable outcomes // Total number of outcomes\newlineProbability =25= \frac{2}{5}
  3. Calculate Probability Raffle: Calculate the probability of winning the raffle with 4848 tickets.\newlineThere are 100100 tickets sold in total, and you have 4848 of them.\newlineProbability = Number of favorable outcomes / Total number of outcomes\newlineProbability = 48100\frac{48}{100}\newlineProbability = 0.480.48
  4. Calculate Probability Strawberry Chew: Calculate the probability of pulling out a strawberry chew from the bag.\newlineThere are 5252 strawberry chews and 88 cherry chews, making a total of 6060 chews.\newlineProbability = Number of favorable outcomes / Total number of outcomes\newlineProbability = 5260\frac{52}{60}\newlineProbability = 1315\frac{13}{15}
  5. Compare Probabilities: Compare the probabilities to determine which event is most likely to occur.\newlineThe probabilities are:\newlineRolling a number greater than 44 on a twelve-sided die: 23\frac{2}{3}\newlineSpinning green or purple: 25\frac{2}{5}\newlineWinning the raffle: 0.480.48\newlinePulling out a strawberry chew: 1315\frac{13}{15}\newlineThe highest probability is the one closest to 11.
  6. Identify Highest Probability: Identify the event with the highest probability.\newlineThe probability of pulling out a strawberry chew is 1315\frac{13}{15}, which is approximately 0.8670.867.\newlineThis is higher than the probability of rolling a number greater than 44 on a twelve-sided die (23\frac{2}{3} or approximately 0.6670.667), spinning green or purple (25\frac{2}{5} or 0.40.4), and winning the raffle (0.480.48).\newlineTherefore, pulling out a strawberry chew is the most likely event.

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