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Which event is most likely to occur?
Rolling a number less than 6 on a six-sided die, numbered from 1 to 6.
Spinning a spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on pink.
Winning a raffle that sold a total of 100 tickets, if you buy 75 tickets.
Reaching into a bag full of 10 strawberry chews and 30 cherry chews without looking and pulling out a strawberry chew.

Which event is most likely to occur? $\newline$ Rolling a number less than $6$ on a six-sided die, numbered from $1$ to $6$ . $\newline$ Spinning a spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on pink. $\newline$ Winning a raffle that sold a total of $100$ tickets, if you buy $75$ tickets. $\newline$ Reaching into a bag full of $10$ strawberry chews and $30$ 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

6

on a six-sided die, numbered from

1

to

6

.

\newline

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

\newline

Winning a raffle that sold a total of

100

tickets, if you buy

75

tickets.

\newline

Reaching into a bag full of

10

strawberry chews and

30

cherry chews without looking and pulling out a strawberry chew.

Evaluate Probability: Let's evaluate the probability of each event happening.
Rolling a Number: First, let's consider rolling a number less than $6$ on a six-sided die, numbered from $1$ to $6$ . The possible outcomes are $1, 2, 3, 4,$ and $5$ , which are five outcomes out of six possible outcomes. $\newline$ Probability $= \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{5}{6}.$
Spinning Spinner: Next, let's look at spinning a spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on pink. Since pink is not one of the colors on the spinner, it is impossible to land on pink. $\newline$ Probability = $0$ (since pink is not an option on the spinner).
Winning Raffle: Now, let's calculate the probability of winning a raffle that sold a total of $100$ tickets, if you buy $75$ tickets. The probability is the number of tickets you have over the total number of tickets. $\newline$ Probability = Number of tickets you have / Total number of tickets = $\frac{75}{100}$ = $\frac{3}{4}$ .
Pulling Chew: Finally, let's determine the probability of reaching into a bag full of $10$ strawberry chews and $30$ cherry chews without looking and pulling out a strawberry chew. The probability is the number of strawberry chews over the total number of chews. $\newline$ Probability = Number of strawberry chews / Total number of chews = $\frac{10}{10+30}$ = $\frac{10}{40}$ = $\frac{1}{4}$ .
Compare Probabilities: Comparing the probabilities, we have: $\newline$ Rolling a number less than $6$ on a die: $\frac{5}{6}$ $\newline$ Spinning pink on the spinner: $0$ $\newline$ Winning the raffle: $\frac{3}{4}$ $\newline$ Pulling out a strawberry chew: $\frac{1}{4}$ $\newline$ The event with the highest probability is rolling a number less than $6$ on a six-sided die.

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