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Which event is most likely to occur? Rolling a number less than 11 on a twelve-sided die, numbered from 1 to 12. Spinning a spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on brown. Winning a raffle that sold a total of 100 tickets, if you buy 27 tickets. Reaching into a bag full of 39 strawberry chews and 21 cherry chews without looking and pulling out a strawberry chew.

Which event is most likely to occur?\newlineRolling a number less than 1111 on a twelve-sided die, numbered from 11 to 1212.\newlineSpinning a spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on brown.\newlineWinning a raffle that sold a total of 100100 tickets, if you buy 2727 tickets.\newlineReaching into a bag full of 3939 strawberry chews and 2121 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 less than 1111 on a twelve-sided die, numbered from 11 to 1212.\newlineSpinning a spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on brown.\newlineWinning a raffle that sold a total of 100100 tickets, if you buy 2727 tickets.\newlineReaching into a bag full of 3939 strawberry chews and 2121 cherry chews without looking and pulling out a strawberry chew.
  1. Calculate Probability: Calculate the probability of rolling a number less than 1111 on a twelve-sided die.\newlineThere are 1010 numbers less than 1111 (11 through 1010) on a twelve-sided die.\newlineThe probability is the number of favorable outcomes divided by the total number of possible outcomes.\newlineP(rolling less than 11)=1012=56.P(\text{rolling less than } 11) = \frac{10}{12} = \frac{5}{6}.
  2. Spinner Landing: Calculate the probability of spinning a spinner divided into four equal-sized sections and landing on brown.\newlineSince there is no brown section mentioned, the probability of landing on brown is 00.\newlineP(landing on brown)=0P(\text{landing on brown}) = 0.
  3. Raffle Winning: Calculate the probability of winning a raffle with 2727 out of 100100 tickets.\newlineThe probability is the number of tickets you have divided by the total number of tickets.\newlineP(winning raffle)=27100.P(\text{winning raffle}) = \frac{27}{100}.
  4. Pulling Chew: Calculate the probability of reaching into a bag and pulling out a strawberry chew. There are 3939 strawberry chews and 2121 cherry chews, making a total of 6060 chews. The probability is the number of strawberry chews divided by the total number of chews. P(pulling strawberry chew)=3960=1320.P(\text{pulling strawberry chew}) = \frac{39}{60} = \frac{13}{20}.
  5. Compare Probabilities: Compare the probabilities to determine the most likely event.\newlineP(rolling less than 11)=56≈0.8333P(\text{rolling less than } 11) = \frac{5}{6} \approx 0.8333\newlineP(landing on brown)=0P(\text{landing on brown}) = 0\newlineP(winning raffle)=27100=0.27P(\text{winning raffle}) = \frac{27}{100} = 0.27\newlineP(pulling strawberry chew)=1320=0.65P(\text{pulling strawberry chew}) = \frac{13}{20} = 0.65\newlineThe event with the highest probability is rolling a number less than 1111 on a twelve-sided die.

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