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 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 37 tickets.
reaching into a bag full of 6 strawberry chews and 74 cherry chews without looking and pulling out a strawberry chew.

Explanation:

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

Total outcomes \(n = 12\). Favorable outcomes (numbers 4 - 12) \(m=9\). Probability \(P_1=\frac{9}{12}=\frac{3}{4} = 0.75\)

Step2: Calculate probability for spinner

Since spinner has 4 equal - sized sections (red/green/yellow/blue) and landing on any of them is certain. Probability \(P_2 = 1\)

Step3: Calculate probability for raffle

Total tickets \(n = 100\), tickets bought \(m = 37\). Probability \(P_3=\frac{37}{100}=0.37\)

Step4: Calculate probability for pulling strawberry chew

Total chews \(n=6 + 74=80\), strawberry chews \(m = 6\). Probability \(P_4=\frac{6}{80}=\frac{3}{40}=0.075\)

Answer:

Reaching into a bag full of 6 strawberry chews and 74 cherry chews without looking and pulling out a strawberry chew.