(03.02 MC) Some researchers claim there is an association between getting a tattoo and contracting hepatitis C. They took a random sample of people living in Los Angeles, California, and recorded whether they had a tattoo and whether they were infected with hepatitis C. The results are shown in the following two-way table: Has Hepatitis C Does Not Have Hepatitis C Does not have a tattoo 5 50 Has one tattoo 10 210 Has more than one tattoo 15 150 If a person is chosen at random, what is the probability that he or she has hepatitis C, given that he or she has one tattoo? (2 points) Select one: a. 0.045 b. 0.333 c. 0.05 d. 0.50

The correct option is (b) 0.333.

Step-by-step explanation:

The data provided is as follows:

                        Hepatitis C           No hepatitis C           Total

No Tattoos              5                             50                        55

 1 Tattoo                 10                           210                      220

> 1 Tattoo                15                           150                       165

   Total                   30                           410                       440

The probability of an event E is the ratio of the favorable number of outcomes to the total number of outcomes.

The condition probability of an event A provided that another event X has already occurred is:

The number of people who has hepatitis C is:

n (Hepatitis C) = 30

The number of people who has hepatitis C and one tattoo is:

n (Hepatitis C and 1 Tattoo) = 10

Compute the probability that he or she has hepatitis C, given that he or she has one tattoo as follows:

Thus, the correct option is (b).

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