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Which event is least likely to occur?
Rolling a number less than 6 on a twelve-sided die, numbered from 1 to 12.
Spinning a spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on blue.
Winning a raffle that sold a total of 100 tickets, if you buy 65 tickets.
Reaching into a bag full of 44 strawberry chews and 16 cherry chews without looking and pulling out a strawberry chew.

Which event is least likely to occur? $\newline$ Rolling a number less than $6$ on a twelve-sided die, numbered from $1$ to $12$ . $\newline$ Spinning a spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on blue. $\newline$ Winning a raffle that sold a total of $100$ tickets, if you buy $65$ tickets. $\newline$ Reaching into a bag full of $44$ strawberry chews and $16$ 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 number less than

6

on a twelve-sided die, numbered from

1

to

12

.

\newline

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

\newline

Winning a raffle that sold a total of

100

tickets, if you buy

65

tickets.

\newline

Reaching into a bag full of

44

strawberry chews and

16

cherry chews without looking and pulling out a strawberry chew.

Calculate Probability of Rolling: Calculate the probability of rolling a number less than $6$ on a twelve-sided die. $\newline$ There are $5$ numbers less than $6$ ( $1$ , $2$ , $3$ , $4$ , $5$ ) on a twelve-sided die. $\newline$ Probability = Number of favorable outcomes / Total number of outcomes $\newline$ Probability = $\frac{5}{12}$
Calculate Probability of Spinning: Calculate the probability of spinning the spinner and landing on blue. $\newline$ There are $4$ equal sections, so the probability of landing on any one color is the same. $\newline$ Probability $= \frac{1}{4}$
Calculate Probability of Winning: Calculate the probability of winning a raffle after buying $65$ out of $100$ tickets. $\newline$ Probability $=$ Number of tickets you have $/$ Total number of tickets $\newline$ Probability $= \frac{65}{100}$
Calculate Probability of Pulling: Calculate the probability of reaching into a bag and pulling out a strawberry chew. There are $44$ strawberry chews and $16$ cherry chews, making a total of $60$ chews. Probability $= \frac{\text{Number of strawberry chews}}{\text{Total number of chews}} = \frac{44}{60}$ Probability can be simplified by dividing both numerator and denominator by $4$ . Probability $= \frac{11}{15}$
Compare Probabilities: Compare the probabilities to determine the least likely event. $\newline$ Rolling a number less than $6$ : $\frac{5}{12} \approx 0.4167$ $\newline$ Spinning and landing on blue: $\frac{1}{4} = 0.25$ $\newline$ Winning the raffle: $\frac{65}{100} = 0.65$ $\newline$ Pulling out a strawberry chew: $\frac{11}{15} \approx 0.7333$ $\newline$ The event with the smallest probability is spinning the spinner and landing on blue.

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