Over the past 10 years, an archaeologist planned several trips to Egypt to dig for the fossilized remains of ancient dinosaurs. The table shows the results of his findings.
Outcome Frequency
Bones 10
Teeth 25
Total 35
Based on the data table, what is the empirical probability of the archaeologist finding fossilized bones????help?
I can tell you that it is not 28.5% nor 14.2%. Other than that I am just as confused.
To find the empirical probability, you need to divide the frequency of the specific outcome (in this case, the number of times the archaeologist found fossilized bones) by the total number of outcomes.
In this case, the frequency of finding fossilized bones is 10, and the total number of outcomes is 35. So, the empirical probability of the archaeologist finding fossilized bones is:
Probability = Frequency of Bones / Total Outcomes
Probability = 10 / 35
To simplify this fraction, you can divide both the numerator and denominator by their greatest common divisor (GCD), which is 5 in this case:
Probability = (10 ÷ 5) / (35 ÷ 5)
Probability = 2 / 7
Therefore, the empirical probability of the archaeologist finding fossilized bones is 2/7.
To find the empirical probability of the archaeologist finding fossilized bones, we need to divide the frequency of bones by the total frequency of all outcomes.
In this case, the frequency of bones is given as 10, and the total frequency of all outcomes is given as 35.
Therefore, to calculate the empirical probability, we divide 10 by 35:
Empirical Probability of finding bones = Frequency of bones / Total frequency = 10 / 35 = 2 / 7 ≈ 0.286
So, the empirical probability of the archaeologist finding fossilized bones is approximately 0.286, or 28.6%.
10 + 25 + 35 = 70
so
10/70