To determine which event is most likely to occur, let's analyze the probability of each event:
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Rolling a number greater than or equal to 3 on an eight-sided die: The possible outcomes on the die are 1 through 8. The numbers greater than or equal to 3 are 3, 4, 5, 6, 7, and 8. That's 6 favorable outcomes out of 8 total outcomes. \[ P(\text{Rolling } \geq 3) = \frac{6}{8} = 0.75 \]
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Spinning a spinner divided into five equal-sized sections and landing on purple: There is one favorable outcome (landing on purple), and there are 5 total sections. \[ P(\text{Landing on purple}) = \frac{1}{5} = 0.2 \]
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Winning a raffle that sold a total of 100 tickets, if you buy 28 tickets: You have 28 chances to win out of 100 total tickets. \[ P(\text{Winning the raffle}) = \frac{28}{100} = 0.28 \]
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Reaching into a bag of 37 strawberry chews and 3 cherry chews and pulling out a strawberry chew: There are 37 strawberry chews and a total of 40 chews. \[ P(\text{Pulling out a strawberry chew}) = \frac{37}{40} = 0.925 \]
Now, comparing the probabilities:
- Rolling a number greater than or equal to 3: 0.75
- Spinning and landing on purple: 0.2
- Winning the raffle: 0.28
- Pulling out a strawberry chew: 0.925
The event that is most likely to occur is reaching into a bag full of 37 strawberry chews and 3 cherry chews without looking and pulling out a strawberry chew, with a probability of 0.925.