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Which event is most likely to occur? Rolling a prime number 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 yellow or green or purple. Winning a raffle that sold a total of 100 tickets, if you buy 74 tickets. Reaching into a bag full of 34 strawberry chews and 46 cherry chews without looking and pulling out a strawberry chew.

Which event is most likely to occur?\newlineRolling a prime number 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 yellow or green or purple.\newlineWinning a raffle that sold a total of 100100 tickets, if you buy 7474 tickets.\newlineReaching into a bag full of 3434 strawberry chews and 4646 cherry chews without looking and pulling out a strawberry chew.

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Q. Which event is most likely to occur?\newlineRolling a prime number 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 yellow or green or purple.\newlineWinning a raffle that sold a total of 100100 tickets, if you buy 7474 tickets.\newlineReaching into a bag full of 3434 strawberry chews and 4646 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 prime number on a twelve-sided die, numbered from 11 to 1212.\newlinePrime numbers between 11 and 1212 are 2,3,5,7,112, 3, 5, 7, 11. There are 55 prime numbers.\newlineProbability of rolling a prime number = Number of prime numbers / Total numbers on the die\newline= 512\frac{5}{12}
  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 yellow or green or purple.\newlineSince there are five equal sections and only one color we do not want to land on (blue), we have four favorable outcomes.\newlineProbability of landing on red, yellow, green, or purple = \frac{\text{Number of favorable colors}}{\text{Total number of colors}}\(\newline= \frac{4}{5}\)
  3. Event 33 Analysis: Event 33: Winning a raffle that sold a total of 100100 tickets, if you buy 7474 tickets.\newlineProbability of winning the raffle =Number of tickets you buyTotal number of tickets sold= \frac{\text{Number of tickets you buy}}{\text{Total number of tickets sold}}\newline=74100= \frac{74}{100}\newline=0.74= 0.74
  4. Event 44 Analysis: Event 44: Reaching into a bag full of 3434 strawberry chews and 4646 cherry chews without looking and pulling out a strawberry chew.\newlineTotal number of chews = 3434 (strawberry) + 4646 (cherry)\newline= 8080\newlineProbability of pulling out a strawberry chew = Number of strawberry chews / Total number of chews\newline= 34/8034 / 80\newline= 0.4250.425
  5. Comparison: Now, let's compare the probabilities to determine which event is most likely to occur.\newlineEvent 11: Probability = 512≈0.4167\frac{5}{12} \approx 0.4167\newlineEvent 22: Probability = 45=0.8\frac{4}{5} = 0.8\newlineEvent 33: Probability = 0.740.74\newlineEvent 44: Probability = 0.4250.425\newlineThe event with the highest probability is Event 22, spinning the spinner and landing on red, yellow, green, or purple.

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