Question

question
which event is least likely to occur?
answer
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 red or yellow or green or blue.
winning a raffle that sold a total of 100 tickets, if you buy 12 tickets.
reaching into a bag full of 13 strawberry chews and 27 cherry chews without looking and pulling out a strawberry chew.

Explanation:

Step1: Calculate probability for each event

• Rolling a number < 6 on a die: A die has numbers 1 - 6. Favorable outcomes: 1,2,3,4,5 (5 outcomes). Total outcomes: 6. Probability = $\frac{5}{6} \approx 0.833$.
• Spinning the spinner: The spinner has 4 equal sections (red, green, yellow, blue). Landing on red/yellow/green/blue means any of the 4 sections, so probability = $\frac{4}{4} = 1$.
• Winning the raffle: Total tickets = 100, tickets bought = 12. Probability = $\frac{12}{100} = 0.12$.
• Pulling a strawberry chew: Total chews = 13 (strawberry) + 27 (cherry) = 40. Favorable outcomes = 13. Probability = $\frac{13}{40} = 0.325$.

Step2: Compare probabilities

Compare the probabilities: $1 > 0.833 > 0.325 > 0.12$. The smallest probability is for winning the raffle.

Answer:

Winning a raffle that sold a total of 100 tickets, if you buy 12 tickets.