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Which event is least likely to occur?
Rolling a 5 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 blue or yellow or green.
Winning a raffle that sold a total of 100 tickets, if you buy 89 tickets.
Reaching into a bag full of 29 strawberry chews and 51 cherry chews without looking and pulling out a strawberry chew.

Which event is least likely to occur? $\newline$ Rolling a $5$ on a eight-sided die, numbered from $1$ to $8$ . $\newline$ Spinning a spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on blue or yellow or green. $\newline$ Winning a raffle that sold a total of $100$ tickets, if you buy $89$ tickets. $\newline$ Reaching into a bag full of $29$ strawberry chews and $51$ cherry chews without looking and pulling out a strawberry chew.

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Make predictions using experimental probability

Full solution

Q. Which event is least likely to occur?

\newline

Rolling a

5

on a eight-sided die, numbered from

1

to

8

.

\newline

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

\newline

Winning a raffle that sold a total of

100

tickets, if you buy

89

tickets.

\newline

Reaching into a bag full of

29

strawberry chews and

51

cherry chews without looking and pulling out a strawberry chew.

Calculate Probability of Rolling: Calculate the probability of rolling a $5$ on an eight-sided die. $\newline$ There is one side with a $5$ and eight possible outcomes. $\newline$ Probability = Number of favorable outcomes / Total number of outcomes $\newline$ Probability = $\frac{1}{8}$
Calculate Probability of Spinning: Calculate the probability of spinning the spinner and landing on blue, yellow, or green. $\newline$ There are three favorable outcomes (blue, yellow, green) and four possible outcomes. $\newline$ Probability = Number of favorable outcomes / Total number of outcomes $\newline$ Probability = $\frac{3}{4}$
Calculate Probability of Winning Raffle: Calculate the probability of winning a raffle after buying $89$ tickets out of $100$ . There are $89$ favorable outcomes and $100$ possible outcomes. Probability = Number of favorable outcomes / Total number of outcomes Probability = $\frac{89}{100}$
Calculate Probability of Pulling Out: Calculate the probability of reaching into a bag and pulling out a strawberry chew. $\newline$ There are $29$ strawberry chews and a total of $80$ chews ( $29$ strawberry + $51$ cherry). $\newline$ Probability = Number of favorable outcomes / Total number of outcomes $\newline$ Probability = $\frac{29}{80}$
Compare Probabilities: Compare the probabilities to determine the least likely event. $\newline$ Rolling a $5$ on an eight-sided die: $\frac{1}{8}$ $\newline$ Spinning the spinner: $\frac{3}{4}$ $\newline$ Winning the raffle: $\frac{89}{100}$ $\newline$ Pulling out a strawberry chew: $\frac{29}{80}$ $\newline$ To compare these, we can convert them to decimals or recognize that $\frac{1}{8}$ is less than $\frac{29}{80}$ , $\frac{3}{4}$ is greater than $\frac{1}{8}$ , and $\frac{89}{100}$ is greater than $\frac{1}{8}$ . Therefore, rolling a $5$ on an eight-sided die is the least likely event.

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