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

3021 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve (x^2 - 4)/(2x+4)


Where and why do we plot points on cumulative frequency graphs?


Solve the equation: x^2+x-12=0


3 shops sell TVs and all 3 are having sales. Here are the three original prices of the TVs and their discounts: X12: £150 (25%), Teli-vise: £235 (1/2 off), Xpert: £60 (with a year of weekly £8 payments). Which TV is the cheapest once discounted.


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning