Malia collected information about whether the members of the 36 households on her block subscribed to cable television and home phone services. Her results are shown in the table below.nIf a household on Malia's block is selected at random and does subscribe to cable television, what is the probability the members of the household also subscribe to home phone service?

This choice incorrectly uses the total number of households that subscribe to home phone service (14) and assumes there are 26 total households subscribing to cable television. However, the correct denominator should be the number of households that subscribe to cable television, which is 18, not 26.

This choice incorrectly suggests that the total probability is based on all households in the block. While 18 households do subscribe to cable, to find the specific probability of subscribing to home phone service given that a household subscribes to cable, we must use the total number of cable subscribers (18), not the total number of households (36).

This choice wrongly calculates the probability using the total number of households (36) as the denominator. The correct calculation requires the total number of households that subscribe to cable television (18) to compute the conditional probability of also subscribing to home phone service.