As of the second quarter of 2018, Facebook had approximately 2.23 billion users
ID: 3067634 • Letter: A
Question
As of the second quarter of 2018, Facebook had approximately 2.23 billion users worldwide and as of May 2018, three of the most popular games on Facebook amongst daily active users (#1, #2, and #3 respectively if you are interested) were Candy Crush Saga (often just referred to as Candy Crush), Clash of Clans, and 8-Ball Pool. Suppose that 9,400 daily Facebook users were asked whether or not they played each of the three games. The survey found that 896 played Candy Crush, 643 played Clash of Clans, 458 played 8-Ball Pool, 390 played Candy Crush and Clash of Clans, 282 played Candy Crush and 8-Ball Pool, 163 played Clash of Clans and 8-Ball Pool, and 47 played all three. Please use a Venn Diagram to illustrate the information given.
a) How many users play Candy Crush but do not play Clash of Clans?
b) How many users play exactly one of the three games?
Explanation / Answer
let N is total number of users sampled; A =Candy Crush player; B=Clash of Clans Player and C =8-Ball Pool players
a) play Candy Crush but do not play Clash of Clans =N(A)-P(A n B)=896-390=506
b) play exactly one of the three games=
N(T)= 9400 N(A)= 896 N(B)= 643 N(C)= 458 N(AnB)= 390 N(BnC)= 163 N(AnC)= 282Related Questions
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