Question

which event is least likely to occur?
rolling a number less than 4 on a eight - sided die, numbered from 1 to 8.
spinning a spinner divided into four equal - sized sections colored red/green/yellow/blue and landing on red or blue or green.
winning a raffle that sold a total of 100 tickets, if you buy 100 tickets.
reaching into a bag full of 2 strawberry chews and 38 cherry chews without looking and pulling out a strawberry chew.

Explanation:

Step1: Calculate probability for each event

• Rolling a number less than 4 on a eight - sided die:

The numbers less than 4 on an eight - sided die (numbered from 1 to 8) are 1, 2, 3. The probability \(P_1=\frac{3}{8}=0.375\)

• Spinning a spinner divided into four equal - sized sections colored red/green/yellow/blue and landing on red or blue or green:

The number of favorable outcomes (red + blue+green) is 3. The probability \(P_2 = \frac{3}{4}=0.75\)

• Winning a raffle that sold a total of 100 tickets, if you buy 100 tickets:

The probability \(P_3=\frac{100}{100} = 1\)

• Reaching into a bag full of 2 strawberry chews and 38 cherry chews and pulling out a strawberry chew:

The total number of chews is \(2 + 38=40\). The probability \(P_4=\frac{2}{40}=\frac{1}{20}=0.05\)

Step2: Compare the probabilities

We have \(P_4(0.05)<P_1(0.375)<P_2(0.75)<P_3(1)\)

Answer:

Reaching into a bag full of 2 strawberry chews and 38 cherry chews and pulling out a strawberry chew.