Which event is least likely to occur? $\newline$ Rolling a $4$ 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 blue or yellow or purple. $\newline$ Winning a raffle that sold a total of $100$ tickets, if you buy $29$ tickets. $\newline$ Reaching into a bag full of $38$ strawberry chews and $2$ cherry chews without looking and pulling out a strawberry chew.

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Math Problems

Grade 7

Make predictions using experimental probability

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Q. Which event is least likely to occur?

\newline

Rolling a

4

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 blue or yellow or purple.

\newline

Winning a raffle that sold a total of

100

tickets, if you buy

29

tickets.

\newline

Reaching into a bag full of

38

strawberry chews and

2

cherry chews without looking and pulling out a strawberry chew.

Calculate Probability of Rolling: Calculate the probability of rolling a $4$ on an eight-sided die. $\newline$ There is only one way to roll a $4$ , and there are eight possible outcomes. $\newline$ Probability $=$ Number of favorable outcomes $/$ Total number of outcomes $\newline$ Probability $=$ $1 / 8$
Calculate Probability of Spinning: Calculate the probability of spinning the spinner and landing on blue, yellow, or purple. $\newline$ There are three favorable outcomes (blue, yellow, purple) and five possible outcomes in total. $\newline$ Probability = Number of favorable outcomes / Total number of outcomes $\newline$ Probability = $\frac{3}{5}$
Calculate Probability of Winning: Calculate the probability of winning a raffle with $29$ tickets out of $100$ sold. $\newline$ There are $29$ favorable outcomes (each ticket is a chance to win) and $100$ possible outcomes in total. $\newline$ Probability $=$ Number of favorable outcomes $/$ Total number of outcomes $\newline$ Probability $= \frac{29}{100}$
Calculate Probability of Pulling Out: Calculate the probability of reaching into a bag and pulling out a strawberry chew. $\newline$ There are $38$ strawberry chews and $2$ cherry chews, making a total of $40$ chews. $\newline$ Probability = Number of favorable outcomes (strawberry chews) / Total number of outcomes (all chews) $\newline$ Probability = $\frac{38}{40}$ $\newline$ Probability can be simplified to $\frac{19}{20}$
Compare Probabilities: Compare the probabilities to determine the least likely event. $\newline$ Rolling a $4$ on an eight-sided die: $\frac{1}{8}$ $\newline$ Spinning the spinner and landing on blue, yellow, or purple: $\frac{3}{5}$ $\newline$ Winning the raffle with $29$ tickets: $\frac{29}{100}$ $\newline$ Pulling out a strawberry chew: $\frac{19}{20}$ $\newline$ The least likely event is the one with the smallest probability. $\newline$ $\frac{1}{8} = 0.125$ $\newline$ $\frac{3}{5} = 0.6$ $\newline$ $\frac{29}{100} = 0.29$ $\newline$ $\frac{19}{20} = 0.95$ $\newline$ The smallest probability is $\frac{1}{8}$ , which corresponds to rolling a $4$ on an eight-sided die.