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Which event is most likely to occur?
Rolling a number less than 11 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 brown.
Winning a raffle that sold a total of 100 tickets, if you buy 27 tickets.
Reaching into a bag full of 39 strawberry chews and 21 cherry chews without looking and pulling out a strawberry chew.

Which event is most likely to occur? $\newline$ Rolling a number less than $11$ 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 brown. $\newline$ Winning a raffle that sold a total of $100$ tickets, if you buy $27$ tickets. $\newline$ Reaching into a bag full of $39$ strawberry chews and $21$ cherry chews without looking and pulling out a strawberry chew.

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Full solution

Q. Which event is most likely to occur?

\newline

Rolling a number less than

11

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 brown.

\newline

Winning a raffle that sold a total of

100

tickets, if you buy

27

tickets.

\newline

Reaching into a bag full of

39

strawberry chews and

21

cherry chews without looking and pulling out a strawberry chew.

Calculate Probability: Calculate the probability of rolling a number less than $11$ on a twelve-sided die. $\newline$ There are $10$ numbers less than $11$ ( $1$ through $10$ ) on a twelve-sided die. $\newline$ The probability is the number of favorable outcomes divided by the total number of possible outcomes. $\newline$ $P(\text{rolling less than } 11) = \frac{10}{12} = \frac{5}{6}.$
Spinner Landing: Calculate the probability of spinning a spinner divided into four equal-sized sections and landing on brown. $\newline$ Since there is no brown section mentioned, the probability of landing on brown is $0$ . $\newline$ $P(\text{landing on brown}) = 0$ .
Raffle Winning: Calculate the probability of winning a raffle with $27$ out of $100$ tickets. $\newline$ The probability is the number of tickets you have divided by the total number of tickets. $\newline$ $P(\text{winning raffle}) = \frac{27}{100}.$
Pulling Chew: Calculate the probability of reaching into a bag and pulling out a strawberry chew. There are $39$ strawberry chews and $21$ cherry chews, making a total of $60$ chews. The probability is the number of strawberry chews divided by the total number of chews. $P(\text{pulling strawberry chew}) = \frac{39}{60} = \frac{13}{20}.$
Compare Probabilities: Compare the probabilities to determine the most likely event. $\newline$ $P(\text{rolling less than } 11) = \frac{5}{6} \approx 0.8333$ $\newline$ $P(\text{landing on brown}) = 0$ $\newline$ $P(\text{winning raffle}) = \frac{27}{100} = 0.27$ $\newline$ $P(\text{pulling strawberry chew}) = \frac{13}{20} = 0.65$ $\newline$ The event with the highest probability is rolling a number less than $11$ on a twelve-sided die.

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