Chapter 10.7, Problem 16HP

To determine

To find: The probability that a household has both high speed internet and have cable television.

Answer to Problem 16HP

The probability of household has both is $\frac{19}{48}or0.3958$ .

Explanation of Solution

Given information: Out of $150$ households $95$ households have high speed internet and that $125$ out of $200$ have cable television.

The probability of households having high speed internet,

P(internet) $=\frac{95}{150}$

The probability of households having cable television,

P(cable) $=\frac{125}{200}$

  $\begin{array}{l}P\left(both\right)=P\left(Internet\right)\times P\left(Cable\right)\\ =\frac{95}{150}\times \frac{125}{200}\\ =\frac{19}{48}\\ =\mathrm{0.3958.}\end{array}$

Thus, the probability of having both in the household is $\frac{19}{48}or0.3958$ .