To determine the likelihood of eating a nut, we need to calculate the probability of eating a nut out of the total number of items in the trail mix.
The total number of items in the trail mix is the sum of nuts, chocolate pieces, and raisins:
Total = 275 nuts + 75 chocolate pieces + 127 raisins = 477 items
The probability of eating a nut is the number of nuts divided by the total number of items:
Probability = Number of nuts / Total number of items
Probability = 275 nuts / 477 items ≈ 0.576
Using the probability scale provided in the illustration, the likelihood of eating a nut falls under the "Likely" category, which is 0.75 or 75 percent.
An illustration shows a probability scale with five outcomes expressed as a decimal, a fraction, and in percentages. The illustration is described as follows. Impossible: 0, 0, 0 percent. Unlikely: start fraction 1 over 4 end fraction, 0.25, 25 percent. Even chance: start fraction 1 over 2 end fraction, 0.50, 50 percent. Likely: start fraction 3 over 4 end fraction, 0.75, 75 percent. Certain: 1, 1, 100 percent.
You are eating a bowl of trail mix. There are 275 nuts, 75 chocolate pieces, and 127 raisins in the mix. What is the likelihood you eat a nut?
1 answer