As of the end of the third quarter of 2016, Facebook had approximately 1.86 bill

Question

As of the end of the third quarter of 2016, Facebook had approximately 1.86 billion users worldwide and as of October 2016, three of the most popular games on Facebook amongst daily active users (#1, 4, and 5 respectively if you are interested) were Candy Crush Saga (often just referred to as Candy Crush), Farm Heroes Saga (often just referred to as Farm Heroes), and 8-Ball Pool. Suppose that 36,000 daily Facebook users were asked whether or not they played each of the three games. The survey found that 1,383 played Candy Crush, 1,004 played Farm Heroes, 477 played 8-Ball Pool, 515 played Candy Crush and Farm Heroes, 68 played Candy Crush and 8-Ball Pool, 92 played Farm Heroes and 8-Ball Pool, and 44 played all three.

a) How many users play Candy Crush but do not play Farm Heroes?

b) How many users play exactly one of the three games?

Explanation / Answer

Candy Crush - C

Farm Heroes - F

Eight ball pool - P

n(C) = 1383, n(F) = 1004, n(P) = 477

n(FP) = 92, n(CF) = 515, n(CP) = 68

n(FPC) = 44

a)

n(C)- n(CF) = 1383-515 = 868

b)

n(CFP) = n(C)+n(F)+n(P)-n(FP)-n(CF)-n(CP)+n(FPC)

=1383+515+ 68-92-515-68+44

= 1335

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.