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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 five equal-sized sections colored red/green/yellow/blue/purple and landing on blue or yellow or green or purple. Winning a raffle that sold a total of 100 tickets, if you buy 41 tickets. Reaching into a bag full of 10 strawberry chews and 10 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 five equal-sized sections colored red/green/yellow/blue/purple and landing on blue or yellow or green or purple.\newlineWinning a raffle that sold a total of 100100 tickets, if you buy 4141 tickets.\newlineReaching into a bag full of 1010 strawberry chews and 1010 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 five equal-sized sections colored red/green/yellow/blue/purple and landing on blue or yellow or green or purple.\newlineWinning a raffle that sold a total of 100100 tickets, if you buy 4141 tickets.\newlineReaching into a bag full of 1010 strawberry chews and 1010 cherry chews without looking and pulling out a strawberry chew.
  1. Calculate Probability Eight-Sided Die: 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 the favorable outcomes for rolling a number greater than or equal to 33 are 3,4,5,6,7,3, 4, 5, 6, 7, and 88. That's 66 favorable outcomes.\newlineProbability == Number of favorable outcomes // Total number of outcomes\newlineProbability =68= \frac{6}{8}\newlineProbability =0.75= 0.75
  2. Calculate Probability Spinner: Calculate the probability of spinning the spinner and landing on blue, yellow, green, or purple.\newlineThere are 55 equal sections, so there are 55 possible outcomes. The favorable outcomes are landing on blue, yellow, green, or purple, which are 44 sections.\newlineProbability = Number of favorable outcomes / Total number of outcomes\newlineProbability = 45\frac{4}{5}\newlineProbability = 0.80.8
  3. Calculate Probability Raffle Tickets: Calculate the probability of winning a raffle after buying 4141 out of 100100 tickets.\newlineThere are 100100 tickets sold in total, and you have 4141 tickets.\newlineProbability = Number of your tickets / Total number of tickets\newlineProbability = 41100\frac{41}{100}\newlineProbability = 0.410.41
  4. Calculate Probability Bag Pull: Calculate the probability of reaching into a bag and pulling out a strawberry chew. There are 2020 chews in total (1010 strawberry and 1010 cherry), and the favorable outcomes are pulling out one of the strawberry chews. Probability = Number of strawberry chews / Total number of chews Probability = 1020\frac{10}{20} Probability = 0.50.5
  5. Compare Event Probabilities: Compare the probabilities to determine which event is most likely to occur.\newlineThe probabilities are:\newlineRolling a number greater than or equal to 33 on an eight-sided die: 0.750.75\newlineSpinning the spinner and landing on blue, yellow, green, or purple: 0.80.8\newlineWinning the raffle with 4141 tickets: 0.410.41\newlinePulling out a strawberry chew: 0.50.5\newlineThe event with the highest probability is spinning the spinner and landing on blue, yellow, green, or purple with a probability of 0.80.8.

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