Question

question
which event is most likely to occur?
answer
rolling a number greater than 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 purple.
winning a raffle that sold a total of 100 tickets, if you buy 96
tickets.
reaching into a bag full of 5 strawberry chews and 55 cherry
chews without looking and pulling out a strawberry chew.

Explanation:

Step1: Calculate probability for rolling a number greater than 4 on a twelve - sided die

The total number of outcomes when rolling a twelve - sided die is \(n = 12\). The numbers greater than 4 are 5, 6, 7, 8, 9, 10, 11, 12. The number of favorable outcomes \(m=8\). The probability \(P_1=\frac{m}{n}=\frac{8}{12}=\frac{2}{3}\approx0.67\).

Step2: Calculate probability for spinning a spinner divided into five equal - sized sections and landing on purple

The total number of sections \(n = 5\). Assuming only one section is purple, the number of favorable outcomes \(m = 1\). The probability \(P_2=\frac{m}{n}=\frac{1}{5}=0.2\).

Step3: Calculate probability for winning a raffle that sold a total of 100 tickets, if you buy 96 tickets

The total number of tickets \(n = 100\). The number of tickets bought \(m = 96\). The probability \(P_3=\frac{m}{n}=\frac{96}{100}=0.96\).

Step4: Calculate probability for reaching into a bag full of 5 strawberry chews and 55 cherry chews and pulling out a strawberry chew

The total number of chews \(n=5 + 55=60\). The number of strawberry chews \(m = 5\). The probability \(P_4=\frac{m}{n}=\frac{5}{60}=\frac{1}{12}\approx0.08\).

Answer:

Winning a raffle that sold a total of 100 tickets, if you buy 96 tickets.