Question

which event is least likely to occur?
answer
rolling a number greater than or equal to 4 on a twelve - sided die,
numbered from 1 to 12.
spinning a spinner divided into five equal - sized sections colored
red/green/yellow/blue/purple and landing on yellow or purple.
winning a raffle that sold a total of 100 tickets, if you buy 93 tickets.
reaching into a bag full of 8 strawberry chews and 72 cherry chews
without looking and pulling out a strawberry chew.

Explanation:

Step1: Calculate probability for rolling a number ≥ 4 on a 12 - sided die

Total outcomes \(n = 12\). Favorable outcomes (4,5,6,7,8,9,10,11,12) \(m=9\). Probability \(P_1=\frac{9}{12}=\frac{3}{4}=0.75\)

Step2: Calculate probability for spinner landing on yellow or purple

Total sections \(n = 5\). Favorable sections (yellow, purple) \(m = 2\). Probability \(P_2=\frac{2}{5}=0.4\)

Step3: Calculate probability for winning the raffle

Total tickets \(n = 100\). Tickets bought \(m = 93\). Probability \(P_3=\frac{93}{100}=0.93\)

Step4: Calculate probability for pulling out a strawberry chew

Total chews \(n=8 + 72=80\). Strawberry chews \(m = 8\). Probability \(P_4=\frac{8}{80}=\frac{1}{10}=0.1\)

Answer:

Reaching into a bag full of 8 strawberry chews and 72 cherry chews without looking and pulling out a strawberry chew.