Gender (Male/Female) and whether an individual had a Facebook account (Yes/No) w

Question

Gender (Male/Female) and whether an individual had a Facebook account (Yes/No) was recorded for 10 individuals. The table summarizes the results: Please use the above table to answer Parts I, II and III. Label your answers. Show work to the best of your ability or explain your reasoning. Part I: What is the probability of randomly selecting an individual with a Facebook account (yes)? Part II: What is the probability of randomly selecting an individual who is female and does not have a Facebook account (No)? Part III: Given a female is selected, what is the probability they have a Facebook account?

Explanation / Answer

The following can be put in a table as follows for better clarity

Part I: Selecting an individual who has a FB account(Yes)

Favourable outcomes = 6

total outcomes = 10

P(Yes) = 6/10 = 3/5 = 0.6

Part II: P(NoAccount for Female selected)

Favourable outcomes = 1

total outcomes = 10

P(Yes) = 1/10 = 0.1

Part III : Given Female and has a FB account

P(Yes/Female) = P(Yes and Female)/P(Female) = (2/10) / (3/10) = 2/3 = 0.67

Gender/FB Account Yes No Total Male 4 3 7 Female 2 1 3 Total 6 4 10

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