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A spinner for a board-game is divided into four equal-sized sections colored red, green, yellow, and blue. If you land on a line between the colors, you keep spinning until you land on a color. Riley's turn is next. Which word or phrase describes the probability that she will land on red or yellow or green or blue?
unlikely
certain
likely
impossible

A spinner for a board-game is divided into four equal-sized sections colored red, green, yellow, and blue. If you land on a line between the colors, you keep spinning until you land on a color. Riley's turn is next. Which word or phrase describes the probability that she will land on red or yellow or green or blue? $\newline$ unlikely $\newline$ certain $\newline$ likely $\newline$ impossible

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Interpret confidence intervals for population means

Full solution

Q. A spinner for a board-game is divided into four equal-sized sections colored red, green, yellow, and blue. If you land on a line between the colors, you keep spinning until you land on a color. Riley's turn is next. Which word or phrase describes the probability that she will land on red or yellow or green or blue?

\newline

unlikely

\newline

certain

\newline

likely

\newline

impossible

Understand the problem: Understand the problem. $\newline$ We need to determine the probability that Riley will land on one of the four colors on the spinner. Since the spinner is divided into four equal sections and you cannot land on a line, Riley must land on one of the colors.
Calculate probabilities: Calculate the probability of landing on each color. $\newline$ Since the spinner is divided into four equal sections, the probability of landing on any one color is $1$ out of $4$ , or $\frac{1}{4}$ .
Determine overall probability: Determine the probability of landing on any of the colors. $\newline$ The probability of landing on red or yellow or green or blue is the sum of the probabilities of landing on each color. Since these are the only outcomes and they are mutually exclusive, the sum of their probabilities is $1$ . $\newline$ Probability of landing on red or yellow or green or blue = $\frac{1}{4} + \frac{1}{4} + \frac{1}{4} + \frac{1}{4} = \frac{4}{4} = 1$
Interpret the result: Interpret the result. $\newline$ A probability of $1$ means that an event is certain to happen. Therefore, it is certain that Riley will land on one of the colors.

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