Question

question
which event is most likely to occur?
answer
rolling a multiple of 5 on a six - sided die, numbered from 1 to 6.
spinning a spinner divided into five equal - sized sections colored red/green/yellow/blue/purple and landing on blue or green or yellow.
winning a raffle that sold a total of 100 tickets, if you buy 28 tickets.
reaching into a bag full of 54 strawberry chews and 6 cherry chews without looking and pulling out a strawberry chew.

Explanation:

Step1: Calculate probability for each event

• Rolling a multiple of 5 on a die (1 - 6): Multiples of 5 are 5. So number of favorable outcomes = 1. Total outcomes = 6. Probability = $\frac{1}{6} \approx 0.167$.
• Spinning spinner (5 sections: red/green/yellow/blue/purple, landing on blue/green/yellow): Favorable outcomes = 3 (blue, green, yellow). Total outcomes = 5. Probability = $\frac{3}{5} = 0.6$.
• Winning raffle (100 tickets, bought 28): Probability = $\frac{28}{100} = 0.28$.
• Pulling strawberry chew (54 strawberry, 6 cherry, total 60): Probability = $\frac{54}{60} = 0.9$.

Step2: Compare probabilities

Compare $0.167$, $0.6$, $0.28$, $0.9$. The largest is $0.9$ (pulling strawberry chew).

Answer:

Reaching into a bag full of 54 strawberry chews and 6 cherry chews without looking and pulling out a strawberry chew.