Question

which event is least likely to occur?
answer
rolling a 8 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 blue or yellow or green.
winning a raffle that sold a total of 100 tickets, if you buy 83 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 rolling a 8 on a twelve - sided die

The probability formula is \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\).
For a twelve - sided die, the total number of outcomes \(n = 12\). The number of favorable outcomes (rolling an 8) \(m=1\). So \(P_1=\frac{1}{12}\approx0.083\).

Step2: Calculate probability for spinner

The spinner has 4 equal - sized sections. The number of favorable outcomes (landing on blue or yellow or green) \(m = 3\). The total number of outcomes \(n = 4\). So \(P_2=\frac{3}{4}=0.75\).

Step3: Calculate probability for raffle

The total number of tickets \(n = 100\). The number of tickets you buy \(m = 83\). So \(P_3=\frac{83}{100}=0.83\).

Step4: Calculate probability for pulling a strawberry chew

The total number of chews \(n=13 + 27=40\). The number of strawberry chews \(m = 13\). So \(P_4=\frac{13}{40}=0.325\).

Answer:

Rolling a 8 on a twelve - sided die, numbered from 1 to 12.