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Which event is least likely to occur?
Rolling a 1 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 red or yellow.
Winning a raffle that sold a total of 100 tickets, if you buy 44 tickets.
Reaching into a bag full of 26 strawberry chews and 14 cherry chews without looking and pulling out a strawberry chew.

Which event is least likely to occur? $\newline$ Rolling a $1$ 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 red or yellow. $\newline$ Winning a raffle that sold a total of $100$ tickets, if you buy $44$ tickets. $\newline$ Reaching into a bag full of $26$ strawberry chews and $14$ 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

1

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 red or yellow.

\newline

Winning a raffle that sold a total of

100

tickets, if you buy

44

tickets.

\newline

Reaching into a bag full of

26

strawberry chews and

14

cherry chews without looking and pulling out a strawberry chew.

Calculate Probability of Rolling a $1$ : Calculate the probability of rolling a $1$ on a six-sided die. The die has $6$ sides, so the probability of rolling a $1$ is $1$ out of $6$ . Probability = $\frac{1}{6}$
Calculate Probability of Spinning Red or Yellow: Calculate the probability of spinning red or yellow on a spinner divided into four equal sections. $\newline$ There are $4$ sections, and $2$ of them are favorable outcomes (red or yellow). $\newline$ Probability $= \frac{2}{4} = \frac{1}{2}$
Calculate Probability of Winning Raffle: Calculate the probability of winning a raffle with $44$ tickets out of $100$ sold. $\newline$ You have $44$ tickets, and there are $100$ tickets in total. $\newline$ Probability = $\frac{44}{100}$
Calculate Probability of Pulling Strawberry Chew: Calculate the probability of pulling out a strawberry chew from a bag with $26$ strawberry chews and $14$ cherry chews. $\newline$ There are $26$ strawberry chews and $14$ cherry chews, so there are $26 + 14 = 40$ chews in total. $\newline$ Probability = $\frac{26}{40} = \frac{13}{20}$
Compare Probabilities to Determine Least Likely Event: Compare the probabilities to determine the least likely event. $\newline$ Rolling a $1$ on a die: $\frac{1}{6} \approx 0.1667$ $\newline$ Spinning red or yellow: $\frac{1}{2} = 0.5$ $\newline$ Winning the raffle: $\frac{44}{100} = 0.44$ $\newline$ Pulling out a strawberry chew: $\frac{13}{20} = 0.65$ $\newline$ The event with the smallest probability is rolling a $1$ on a six-sided die.

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