Which event is least likely to occur? $\newline$ Rolling a number less than $6$ on a twelve-sided die, numbered from $1$ to $12$ . $\newline$ Spinning a spinner divided into five equal-sized sections colored red/green/yellow/blue/purple and landing on some color. $\newline$ Winning a raffle that sold a total of $100$ tickets, if you buy $11$ tickets. $\newline$ Reaching into a bag full of $18$ strawberry chews and $2$ cherry chews without looking and pulling out a strawberry chew.

View step-by-step help

Home

Math Problems

Algebra 1

Solve a system of equations using elimination: word problems

Full solution

Q. Which event is least likely to occur?

\newline

Rolling a number less than

6

on a twelve-sided die, numbered from

1

12

\newline

Spinning a spinner divided into five equal-sized sections colored red/green/yellow/blue/purple and landing on some color.

\newline

Winning a raffle that sold a total of

100

tickets, if you buy

11

tickets.

\newline

Reaching into a bag full of

18

strawberry chews and

2

cherry chews without looking and pulling out a strawberry chew.

Calculate Probability of Rolling: Calculate the probability of rolling a number less than $6$ on a twelve-sided die. $\newline$ There are $5$ numbers less than $6$ ( $1$ , $2$ , $3$ , $4$ , $5$ ) on a twelve-sided die. $\newline$ Probability = Number of favorable outcomes / Total number of outcomes $\newline$ Probability = $\frac{5}{12}$
Calculate Probability of Spinning: Calculate the probability of spinning a spinner divided into five equal-sized sections and landing on some color. $\newline$ Since there are five sections and each is equally likely, the probability of landing on any one color is the same. $\newline$ Probability = $\frac{1}{5}$
Calculate Probability of Winning: Calculate the probability of winning a raffle that sold a total of $100$ tickets, if you buy $11$ tickets. $\newline$ Probability = Number of tickets you have / Total number of tickets $\newline$ Probability = $\frac{11}{100}$
Calculate Probability of Pulling Out: Calculate the probability of reaching into a bag full of $18$ strawberry chews and $2$ cherry chews without looking and pulling out a strawberry chew. $\newline$ Probability = Number of strawberry chews / Total number of chews $\newline$ Probability = $\frac{18}{18 + 2}$ $\newline$ Probability = $\frac{18}{20}$ $\newline$ Probability = $\frac{9}{10}$
Compare Probabilities: Compare the probabilities to determine the least likely event. $\newline$ Rolling a number less than $6$ on a twelve-sided die: $\frac{5}{12}$ $\newline$ Spinning a spinner and landing on some color: $\frac{1}{5}$ $\newline$ Winning a raffle with $11$ tickets: $\frac{11}{100}$ $\newline$ Pulling out a strawberry chew: $\frac{9}{10}$ $\newline$ Convert all probabilities to decimals for easier comparison: $\newline$ Rolling a number less than $6$ on a twelve-sided die: $0.4167$ $\newline$ Spinning a spinner and landing on some color: $0.2$ $\newline$ Winning a raffle with $11$ tickets: $0.11$ $\newline$ Pulling out a strawberry chew: $0.9$ $\newline$ The smallest decimal represents the least likely event.
Identify Least Likely Event: Identify the least likely event based on the smallest probability. $\newline$ Rolling a number less than $6$ on a twelve-sided die: $0.4167$ $\newline$ Spinning a spinner and landing on some color: $0.2$ $\newline$ Winning a raffle with $11$ tickets: $0.11$ $\newline$ Pulling out a strawberry chew: $0.9$ $\newline$ The least likely event is winning a raffle with $11$ tickets, which has a probability of $0.11$ .