Question

Let W be the event that a randomly chosen child watches TV. Let S be the event that a randomly chosen child plays a sport. Identify the answer which expresses the following with correct notation: Of all the children who watch TV, the probability that a randomly chosen child plays a sport. Select the correct answer below:

O P(S) AND P(W)
O P(W AND S)
O P(WIS)
O P(SW)

Answer 1

The correct notation for the probability that a randomly chosen child plays a sport, given that the child watches TV, is P(S|W), representing a conditional probability.

Step-by-step explanation:

To answer your question, we're looking for the probability that a randomly chosen child plays a sport, given that the child watches TV. This is a conditional probability scenario. In probability theory, the notation P(S|W) is used to signify the probability of event 'S' occurring given that event 'W' has already occurred.

Therefore, the correct expression for the probability that a randomly chosen child plays a sport, given that the child watches TV is P(S|W).