The following frequency table shows the classification of 58 landfills in a stat

Question

The following frequency table shows the classification of 58 landfills in a state according to their concentration of the three hazardous chemicals arsenic, barium, and mercury. If a landfill is selected at random, find the probability that is has a high concentration of mercury high concentration of barium and low concentrations of arsenic and mercury high concentrations of any two of the chemicals and low concentration of the third high concentration of any one of the chemicals and low concentrations of the other two

Explanation / Answer

a. high concentration of mercury probability is 1/58

b. high concentration of barium and low concentrations of arsenic and mercury is 8/58

c.high concentrations of any two and low concentration of other

there are three cases so the probability is sum of 3 probabilities

mercury,barium high arsenic low or mercury,arsenic high barium low or arsenic,barium high mercury low

so the probability is

4/58+5/58+3/58 = 12/58

d .Here also

there are three cases so the probability is sum of 3 probabilities

mercury,barium low arsenic high or mercury,arsenic low barium high or arsenic,barium low mercury high

so the probability is

9/58+8/58+10/58 = 27/58

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