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Eva volunteers at the community center. Today, she is helping them get ready for the Fire Safety Festival by blowing up balloons from a big box of uninflated balloons in a variety of colors. Eva randomly selects balloons from the box. So far, she has inflated 22 purple, 66 yellow, 33 green, 11 blue, and 44 red balloons.\newlineBased on the data, what is the probability that the next balloon Eva inflates will be yellow?\newlineWrite your answer as a fraction or whole number.

Full solution

Q. Eva volunteers at the community center. Today, she is helping them get ready for the Fire Safety Festival by blowing up balloons from a big box of uninflated balloons in a variety of colors. Eva randomly selects balloons from the box. So far, she has inflated 22 purple, 66 yellow, 33 green, 11 blue, and 44 red balloons.\newlineBased on the data, what is the probability that the next balloon Eva inflates will be yellow?\newlineWrite your answer as a fraction or whole number.
  1. Count Total Balloons: First, let's count the total number of balloons Eva has inflated so far. She has inflated 22 purple, 66 yellow, 33 green, 11 blue, and 44 red balloons. To find the total, we add these numbers together:\newline2+6+3+1+4=162 + 6 + 3 + 1 + 4 = 16 balloons in total.
  2. Find Probability: Next, we need to find the probability that the next balloon Eva inflates will be yellow. We know she has inflated 66 yellow balloons. The probability is calculated by dividing the number of yellow balloons by the total number of balloons inflated:\newlineProbability = Number of yellow balloons / Total number of balloons\newlineProbability = 616\frac{6}{16}
  3. Simplify Fraction: To simplify the fraction, we divide the numerator and the denominator by their greatest common divisor, which is 22: \newline616=38\frac{6}{16} = \frac{3}{8}

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