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Which event is most likely to occur? Rolling a number less than 6 on a six-sided die, numbered from 1 to 6. Spinning a spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on pink. Winning a raffle that sold a total of 100 tickets, if you buy 75 tickets. Reaching into a bag full of 10 strawberry chews and 30 cherry chews without looking and pulling out a strawberry chew.

Which event is most likely to occur?\newlineRolling a number less than 66 on a six-sided die, numbered from 11 to 66.\newlineSpinning a spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on pink.\newlineWinning a raffle that sold a total of 100100 tickets, if you buy 7575 tickets.\newlineReaching into a bag full of 1010 strawberry chews and 3030 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 66 on a six-sided die, numbered from 11 to 66.\newlineSpinning a spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on pink.\newlineWinning a raffle that sold a total of 100100 tickets, if you buy 7575 tickets.\newlineReaching into a bag full of 1010 strawberry chews and 3030 cherry chews without looking and pulling out a strawberry chew.
  1. Evaluate Probability: Let's evaluate the probability of each event happening.
  2. Rolling a Number: First, let's consider rolling a number less than 66 on a six-sided die, numbered from 11 to 66. The possible outcomes are 1,2,3,4,1, 2, 3, 4, and 55, which are five outcomes out of six possible outcomes.\newlineProbability =Number of favorable outcomesTotal number of outcomes=56.= \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{5}{6}.
  3. Spinning Spinner: Next, let's look at spinning a spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on pink. Since pink is not one of the colors on the spinner, it is impossible to land on pink.\newlineProbability = 00 (since pink is not an option on the spinner).
  4. Winning Raffle: Now, let's calculate the probability of winning a raffle that sold a total of 100100 tickets, if you buy 7575 tickets. The probability is the number of tickets you have over the total number of tickets.\newlineProbability = Number of tickets you have / Total number of tickets = 75100\frac{75}{100} = 34\frac{3}{4}.
  5. Pulling Chew: Finally, let's determine the probability of reaching into a bag full of 1010 strawberry chews and 3030 cherry chews without looking and pulling out a strawberry chew. The probability is the number of strawberry chews over the total number of chews.\newlineProbability = Number of strawberry chews / Total number of chews = 1010+30\frac{10}{10+30} = 1040\frac{10}{40} = 14\frac{1}{4}.
  6. Compare Probabilities: Comparing the probabilities, we have:\newlineRolling a number less than 66 on a die: 56\frac{5}{6}\newlineSpinning pink on the spinner: 00\newlineWinning the raffle: 34\frac{3}{4}\newlinePulling out a strawberry chew: 14\frac{1}{4}\newlineThe event with the highest probability is rolling a number less than 66 on a six-sided die.

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