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Which event is most likely to occur? Rolling a number greater than or equal to 3 on a eight-sided die, numbered from 1 to 8 . Spinning a spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on yellow or red. Winning a raffle that sold a total of 100 tickets, if you buy 83 tickets. Reaching into a bag full of 36 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 or equal to 33 on a eight-sided die, numbered from 11 to 88 .\newlineSpinning a spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on yellow or red.\newlineWinning a raffle that sold a total of 100100 tickets, if you buy 8383 tickets.\newlineReaching into a bag full of 3636 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 or equal to 33 on a eight-sided die, numbered from 11 to 88 .\newlineSpinning a spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on yellow or red.\newlineWinning a raffle that sold a total of 100100 tickets, if you buy 8383 tickets.\newlineReaching into a bag full of 3636 strawberry chews and 4444 cherry chews without looking and pulling out a strawberry chew.
  1. Calculate Probability of Rolling: Calculate the probability of rolling a number greater than or equal to 33 on an eight-sided die.\newlineThere are 88 possible outcomes when rolling the die, and 66 of these outcomes (3,4,5,6,7,83, 4, 5, 6, 7, 8) are greater than or equal to 33.\newlineProbability = Number of favorable outcomes / Total number of possible outcomes\newlineProbability = 68\frac{6}{8}\newlineProbability = 0.750.75
  2. Calculate Probability of Spinning: Calculate the probability of spinning the spinner and landing on yellow or red.\newlineThere are 44 equal sections, so there are 44 possible outcomes. 22 of these outcomes (yellow, red) are favorable.\newlineProbability == Number of favorable outcomes // Total number of possible outcomes\newlineProbability =24= \frac{2}{4}\newlineProbability =0.5= 0.5
  3. Calculate Probability of Winning: Calculate the probability of winning a raffle after buying 8383 out of 100100 tickets.\newlineThere are 100100 possible outcomes, and buying 8383 tickets means 8383 favorable outcomes.\newlineProbability = Number of favorable outcomes / Total number of possible outcomes\newlineProbability = 83100\frac{83}{100}\newlineProbability = 0.830.83
  4. Calculate Probability of Pulling: Calculate the probability of reaching into a bag and pulling out a strawberry chew. There are 3636 strawberry chews and 4444 cherry chews, making a total of 8080 chews. Probability =Number of strawberry chewsTotal number of chews= \frac{\text{Number of strawberry chews}}{\text{Total number of chews}} Probability =3680= \frac{36}{80} Probability $= \(0\).\(45\)
  5. Compare Probabilities: Compare the probabilities to determine which event is most likely to occur.\(\newline\)The probabilities calculated are:\(\newline\)Rolling a number \(\geq 3\) on an eight-sided die: \(0.75\)\(\newline\)Spinning and landing on yellow or red: \(0.5\)\(\newline\)Winning the raffle with \(83\) tickets: \(0.83\)\(\newline\)Pulling out a strawberry chew: \(0.45\)\(\newline\)The highest probability is associated with winning the raffle with \(83\) tickets.

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