In a group of 40 people, 16 owned at least a phone, 7 owned only a tablet and it's known 13 owned both. What's the probability that a person, picked at random, owned neither?

40 people in total16 = at least a phone, 7 = only a tablet, 13 = both
Must figure out how many people just own a phone: 16 - 13 (both phones and tablet) = 3 (just own a phone)
So, can construct a Venn diagram to show that, of the entire group of 40, those who own either a phone or tablet break down into these categories: 3 people own only phones, 13 own both a phone and tablet, 7 own only a tablet.
3 + 13 + 7 = 23 (own a phone and/or a tablet)
Subtract this number from the total size of the group to find number of people who don't own either:40 - 23 = 17 (don't own either)
Answer:17/40

MR
Answered by Milan R. Maths tutor

2679 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Simplify (3x^2 + x -2)/(x^2 - 1)


Find the inverse function of f(x)=5/(x-4)


Maths A Level: "Sketch the curve of the function f(x) = 2x^3 - 2x - 12 and show that the equation f(x)=0 has one root; calculate the root."


Find the positive solution to b^2 +5b – 6 =o


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences