To determine which event is least likely to occur, let's analyze the probability of each event:
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Rolling a number greater than or equal to 6 on an eight-sided die (numbered from 1 to 8):
- The numbers that meet this criterion are 6, 7, and 8, totaling 3 favorable outcomes.
- The total number of outcomes is 8.
- Probability = Favorable outcomes / Total outcomes = 3/8 = 0.375.
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Spinning a spinner divided into four equal-sized sections colored red, green, yellow, and blue and landing on green:
- There is 1 favorable outcome (landing on green) out of 4 possible sections.
- Probability = 1/4 = 0.25.
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Winning a raffle that sold a total of 100 tickets, if you buy 80 tickets:
- The probability of winning is the number of tickets you bought divided by the total number of tickets.
- Probability = 80/100 = 0.8.
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Reaching into a bag full of 51 strawberry chews and 29 cherry chews without looking and pulling out a strawberry chew:
- There are 51 favorable outcomes (strawberry chews) out of a total of 80 candies (51 strawberry + 29 cherry).
- Probability = 51/80 = 0.6375.
Now, summarizing the probabilities:
- Rolling a number ≥ 6 on an eight-sided die: 0.375
- Spinning and landing on green: 0.25
- Winning the raffle: 0.8
- Pulling a strawberry chew from the bag: 0.6375
The event that is least likely to occur is spinning a spinner and landing on green, with a probability of 0.25.