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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. Mamadou's turn is next. Which word or phrase describes the probability that he will land on yellow or blue or green?
likely
certain
impossible
unlikely

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. Mamadou's turn is next. Which word or phrase describes the probability that he will land on yellow or blue or green?\newlinelikely\newlinecertain\newlineimpossible\newlineunlikely

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. Mamadou's turn is next. Which word or phrase describes the probability that he will land on yellow or blue or green?\newlinelikely\newlinecertain\newlineimpossible\newlineunlikely
  1. Understand the problem: Understand the problem.\newlineWe need to determine the probability that Mamadou will land on either yellow, blue, or green on a spinner divided into four equal sections.
  2. Determine favorable outcomes: Determine the total number of favorable outcomes. Since Mamadou can land on yellow, blue, or green, there are 33 favorable outcomes.
  3. Determine possible outcomes: Determine the total number of possible outcomes.\newlineThere are 44 possible outcomes in total (red, green, yellow, and blue).
  4. Calculate probability: Calculate the probability.\newlineThe probability of landing on one of the favorable outcomes (yellow, blue, or green) is the number of favorable outcomes divided by the total number of possible outcomes.\newlineProbability = Number of favorable outcomes / Total number of possible outcomes\newlineProbability = 34\frac{3}{4}
  5. Interpret probability: Interpret the probability.\newlineA probability of 34\frac{3}{4} means that there is a 75%75\% chance of landing on yellow, blue, or green. This is a high probability, so we would describe it as "likely."

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