Question

which event is least likely to occur?
answer
rolling an even number on a twelve - sided die, numbered from 1 to 12.
spinning a spinner divided into four equal - sized sections colored red/green/yellow/blue and landing on red or yellow.
winning a raffle that sold a total of 100 tickets, if you buy 14 tickets.
reaching into a bag full of 31 strawberry chews and 49 cherry chews without looking and pulling out a strawberry chew.
submit answer

Explanation:

Step1: Calculate probability for each event

• Rolling an even number on a 12 - sided die: There are 6 even numbers (2, 4, 6, 8, 10, 12) out of 12. Probability $P_1=\frac{6}{12} = 0.5$.
• Spinning a spinner (4 equal sections: red/green/yellow/blue) and landing on red or yellow: There are 2 favorable outcomes (red, yellow) out of 4. Probability $P_2=\frac{2}{4}=0.5$.
• Winning a raffle (100 tickets, bought 14): Probability $P_3=\frac{14}{100}=0.14$.
• Reaching into a bag (31 strawberry, 49 cherry chews) and pulling out a strawberry chew: Total chews = $31 + 49=80$. Probability $P_4=\frac{31}{80}=0.3875$.

Step2: Compare the probabilities

Compare $0.5$, $0.5$, $0.14$, and $0.3875$. The smallest probability is $0.14$ which corresponds to winning the raffle.

Answer:

Winning a raffle that sold a total of 100 tickets, if you buy 14 tickets.