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Which event is most likely to occur?
Rolling a number less than 12 on a twelve-sided die, numbered from 1 to 12.
Spinning a spinner divided into five equal-sized sections colored red/green/yellow/blue/purple and landing on orange.
Winning a raffle that sold a total of 100 tickets, if you buy 35 tickets.
Reaching into a bag full of 27 strawberry chews and 13 cherry chews without looking and pulling out a strawberry chew.

Which event is most likely to occur? $\newline$ Rolling a number less than $12$ 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 orange. $\newline$ Winning a raffle that sold a total of $100$ tickets, if you buy $35$ tickets. $\newline$ Reaching into a bag full of $27$ strawberry chews and $13$ 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 most likely to occur?

\newline

Rolling a number less than

12

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 orange.

\newline

Winning a raffle that sold a total of

100

tickets, if you buy

35

tickets.

\newline

Reaching into a bag full of

27

strawberry chews and

13

cherry chews without looking and pulling out a strawberry chew.

Rolling Probability Analysis: Analyze the probability of rolling a number less than $12$ on a twelve-sided die. $\newline$ A twelve-sided die has numbers from $1$ to $12$ . Rolling any number from $1$ to $11$ will satisfy the condition of rolling a number less than $12$ . $\newline$ Probability = Number of favorable outcomes / Total number of possible outcomes $\newline$ Probability = $\frac{11}{12}$
Spinner Landing Probability: Analyze the probability of spinning a spinner divided into five equal-sized sections and landing on orange. $\newline$ The spinner does not have an orange section, so it is impossible to land on orange. $\newline$ Probability = $0 / 5$ $\newline$ Probability = $0$
Raffle Winning Probability: Analyze the probability of winning a raffle with $100$ tickets sold, if you buy $35$ tickets. $\newline$ Probability = Number of tickets you have / Total number of tickets $\newline$ Probability = $\frac{35}{100}$ $\newline$ Probability = $0.35$
Chew Selection Probability: Analyze the probability of reaching into a bag and pulling out a strawberry chew. There are $27$ strawberry chews and $13$ cherry chews, making a total of $40$ chews. Probability $= \frac{\text{Number of strawberry chews}}{\text{Total number of chews}} = \frac{27}{40}$
Comparative Probability Analysis: Compare the probabilities to determine which event is most likely to occur. $\newline$ Rolling a number less than $12$ on a twelve-sided die: $\frac{11}{12}$ $\newline$ Spinning the spinner and landing on orange: $0$ $\newline$ Winning the raffle: $0.35$ $\newline$ Pulling out a strawberry chew: $\frac{27}{40}$ $\newline$ The probability of rolling a number less than $12$ on a twelve-sided die ( $\frac{11}{12}$ ) is the highest probability among the given events.

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