Which event is most likely to occur? $\newline$ Rolling a number greater than or equal to $3$ 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 green or purple. $\newline$ Winning a raffle that sold a total of $100$ tickets, if you buy $41$ tickets. $\newline$ Reaching into a bag full of $10$ strawberry chews and $10$ cherry chews without looking and pulling out a strawberry chew.

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Solve a system of equations using elimination: word problems

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Q. Which event is most likely to occur?

\newline

Rolling a number greater than or equal to

3

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 green or purple.

\newline

Winning a raffle that sold a total of

100

tickets, if you buy

41

tickets.

\newline

Reaching into a bag full of

10

strawberry chews and

10

cherry chews without looking and pulling out a strawberry chew.

Calculate Probability Eight-Sided Die: Calculate the probability of rolling a number greater than or equal to $3$ on an eight-sided die. $\newline$ There are $8$ possible outcomes when rolling the die, and the favorable outcomes for rolling a number greater than or equal to $3$ are $3, 4, 5, 6, 7,$ and $8$ . That's $6$ favorable outcomes. $\newline$ Probability $=$ Number of favorable outcomes $/$ Total number of outcomes $\newline$ Probability $= \frac{6}{8}$ $\newline$ Probability $= 0.75$
Calculate Probability Spinner: Calculate the probability of spinning the spinner and landing on blue, yellow, green, or purple. $\newline$ There are $5$ equal sections, so there are $5$ possible outcomes. The favorable outcomes are landing on blue, yellow, green, or purple, which are $4$ sections. $\newline$ Probability = Number of favorable outcomes / Total number of outcomes $\newline$ Probability = $\frac{4}{5}$ $\newline$ Probability = $0.8$
Calculate Probability Raffle Tickets: Calculate the probability of winning a raffle after buying $41$ out of $100$ tickets. $\newline$ There are $100$ tickets sold in total, and you have $41$ tickets. $\newline$ Probability = Number of your tickets / Total number of tickets $\newline$ Probability = $\frac{41}{100}$ $\newline$ Probability = $0.41$
Calculate Probability Bag Pull: Calculate the probability of reaching into a bag and pulling out a strawberry chew. There are $20$ chews in total ( $10$ strawberry and $10$ cherry), and the favorable outcomes are pulling out one of the strawberry chews. Probability = Number of strawberry chews / Total number of chews Probability = $\frac{10}{20}$ Probability = $0.5$
Compare Event Probabilities: Compare the probabilities to determine which event is most likely to occur. $\newline$ The probabilities are: $\newline$ Rolling a number greater than or equal to $3$ on an eight-sided die: $0.75$ $\newline$ Spinning the spinner and landing on blue, yellow, green, or purple: $0.8$ $\newline$ Winning the raffle with $41$ tickets: $0.41$ $\newline$ Pulling out a strawberry chew: $0.5$ $\newline$ The event with the highest probability is spinning the spinner and landing on blue, yellow, green, or purple with a probability of $0.8$ .