60% of households have internet, what is the probability that 3 randomly selected households will have internet?
3/60
To calculate the probability that three randomly selected households will have internet, we need to assume that each household is independent and the probability of having internet in each household remains constant at 60%.
The probability of one randomly selected household having internet is 60% or 0.60.
Since the households are independent, we can use the multiplication rule of probability to calculate the probability of all three households having internet:
P(3 households have internet) = P(Household 1 has internet) * P(Household 2 has internet) * P(Household 3 has internet)
P(3 households have internet) = 0.60 * 0.60 * 0.60
P(3 households have internet) = 0.216 or 21.6%
Therefore, the probability that three randomly selected households will have internet is 21.6%.