Photos and videos have become an important part of the online social experience,
ID: 3371557 • Letter: P
Question
Photos and videos have become an important part of the online social experience,with more than half of Intermet users posting photos and videos online that they have taken themselves. Let A be the event an Internet user posts photos that he or she has personally taken, and B be the event an Internet user posts videos that he or she has personally taken. Pew Research Center finds that P(A)0.52, P(B) 0.26, and P(A or B) 0.54 What is the conditional probability that an Internet user posts photos that he or she has personally taken, given that he or she (Hint: First find the probability that an Internet user posts photos and videos of him- or herself. This can be found using the addition rule for general events directly, or you may find it simpler to first summarize the information in a Venn diagram.) PA I B) =Explanation / Answer
P(A and B) = P(A) + P(B) - P(A or B) = 0.52 + 0.26 - 0.54 = 0.24
Hence,
P(A | B) = P(A and B) / P(B) = 0.24/0.26 = 0.923