Question

A survey of 125 households was done to investigate whether households have laptops, tablets, or

both. The results are shown in the Venn diagram below. If a household was selected at random, which
of the following would be the probability the household would have a laptop given that it does not
have a tablet?
1) 0.484
2) 0.355
3) 0.326
4) 0.172​

Answer 1

3) 0.326

Explanation:

Total Number of surveyed households =125

We want to determine the probability that a randomly selected household would have a laptop given that it does not have a tablet.

Written in Probability notation: P(Laptop|No Tablet)

`P(Laptop|No Tablet)=(P(L\cap T'))/(P(T')) \\=(31/125)/(95/125)\\=(31)/(95)\\\\=0.326`

The correct option is C,