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5 containers paint 3 green, 2 red and 1 blue. Pick container randomly. Determine probability of getting red paint container.

Mathematics

ScanSolve AI Answer

Answer

13\frac{1}{3}

Step-by-step solution

4 steps

  1. Identify the number of favorable outcomes.

    The number of red paint containers is 2.

  2. Identify the total number of possible outcomes.

    The total number of containers is the sum of green, red, and blue containers:

    3(green)+2(red)+1(blue)=6 containers3 (\text{green}) + 2 (\text{red}) + 1 (\text{blue}) = 6 \text{ containers}

  3. Calculate the probability.

    The probability of picking a red paint container is the number of red containers divided by the total number of containers:

    P(red)=Number of red containersTotal number of containers=26P(\text{red}) = \frac{\text{Number of red containers}}{\text{Total number of containers}} = \frac{2}{6}

  4. Simplify the probability.

    P(red)=26=13P(\text{red}) = \frac{2}{6} = \frac{1}{3}

    The probability of getting a red paint container is 13\frac{1}{3}.

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