Which event is least likely to occur?Rolling a 4 on a eight-sided die, numbered from 1 to 8.Spinning a spinner divided into five equal-sized sections colored red/green/yellow/blue/purple and landing on blue or yellow or purple.Winning a raffle that sold a total of 100 tickets, if you buy 29 tickets.Reaching into a bag full of 38 strawberry chews and 2 cherry chews without looking and pulling out a strawberry chew.
Q. Which event is least likely to occur?Rolling a 4 on a eight-sided die, numbered from 1 to 8.Spinning a spinner divided into five equal-sized sections colored red/green/yellow/blue/purple and landing on blue or yellow or purple.Winning a raffle that sold a total of 100 tickets, if you buy 29 tickets.Reaching into a bag full of 38 strawberry chews and 2 cherry chews without looking and pulling out a strawberry chew.
Calculate Probability of Rolling: Calculate the probability of rolling a 4 on an eight-sided die.There is only one way to roll a 4, and there are eight possible outcomes.Probability = Number of favorable outcomes / Total number of outcomesProbability =1/8
Calculate Probability of Spinning: Calculate the probability of spinning the spinner and landing on blue, yellow, or purple.There are three favorable outcomes (blue, yellow, purple) and five possible outcomes in total.Probability = Number of favorable outcomes / Total number of outcomesProbability = 53
Calculate Probability of Winning: Calculate the probability of winning a raffle with 29 tickets out of 100 sold.There are 29 favorable outcomes (each ticket is a chance to win) and 100 possible outcomes in total.Probability = Number of favorable outcomes / Total number of outcomesProbability =10029
Calculate Probability of Pulling Out: Calculate the probability of reaching into a bag and pulling out a strawberry chew.There are 38 strawberry chews and 2 cherry chews, making a total of 40 chews.Probability = Number of favorable outcomes (strawberry chews) / Total number of outcomes (all chews)Probability = 4038Probability can be simplified to 2019
Compare Probabilities: Compare the probabilities to determine the least likely event.Rolling a 4 on an eight-sided die: 81Spinning the spinner and landing on blue, yellow, or purple: 53Winning the raffle with 29 tickets: 10029Pulling out a strawberry chew: 2019The least likely event is the one with the smallest probability.81=0.12553=0.610029=0.292019=0.95The smallest probability is 81, which corresponds to rolling a 4 on an eight-sided die.
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