Which event is least likely to occur? $\newline$ Rolling a number greater than or equal to $1$ on a eight-sided die, numbered from $1$ to $8$ . $\newline$ Spinning a spinner divided into five equal-sized sections colored red/green/yellow/blue/purple and landing on yellow. $\newline$ Winning a raffle that sold a total of $100$ tickets, if you buy $31$ tickets. $\newline$ Reaching into a bag full of $34$ strawberry chews and $6$ cherry chews without looking and pulling out a strawberry chew.

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Algebra 1

Solve a system of equations using elimination: word problems

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Q. Which event is least likely to occur?

\newline

Rolling a number greater than or equal to

1

on a eight-sided die, numbered from

1

8

\newline

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

\newline

Winning a raffle that sold a total of

100

tickets, if you buy

31

tickets.

\newline

Reaching into a bag full of

34

strawberry chews and

6

cherry chews without looking and pulling out a strawberry chew.

Rolling Die Probability: Calculate the probability of rolling a number greater than or equal to $1$ on an eight-sided die. $\newline$ Since all numbers on the die are greater than or equal to $1$ , the probability is $1$ (or $100\%$ chance).
Spinner Landing Probability: Calculate the probability of spinning a spinner divided into five equal-sized sections and landing on yellow. $\newline$ There is one yellow section out of five, so the probability is $\frac{1}{5}$ .
Raffle Winning Probability: Calculate the probability of winning a raffle after buying $31$ out of $100$ tickets. $\newline$ The probability is the number of tickets you have over the total number of tickets, so the probability is $\frac{31}{100}$ .
Bag Chew Probability: Calculate the probability of reaching into a bag and pulling out a strawberry chew without looking. $\newline$ There are $34$ strawberry chews and $6$ cherry chews, making a total of $40$ chews. The probability of pulling out a strawberry chew is $\frac{34}{40}$ , which simplifies to $\frac{17}{20}$ .
Least Likely Event: Compare the probabilities to determine the least likely event. $\newline$ Rolling a die: $1$ (or $100\%$ ) $\newline$ Spinning a spinner: $\frac{1}{5}$ (or $20\%$ ) $\newline$ Winning a raffle: $\frac{31}{100}$ (or $31\%$ ) $\newline$ Pulling out a strawberry chew: $\frac{17}{20}$ (or $85\%$ ) $\newline$ The event with the lowest probability is spinning the spinner and landing on yellow with a probability of $\frac{1}{5}$ or $20\%$ .