Final answer:
The probability that a student who prefers tea also prefers coffee can be determined using conditional probability. The conditional probability formula is used to calculate the probability of event A occurring given that event B has already occurred.
Step-by-step explanation:
The probability that a student who prefers tea also prefers coffee can be determined using conditional probability. Conditional probability is the probability of event A occurring given that event B has already occurred. In this case, event A is a student preferring coffee and event B is a student preferring tea.
To calculate the conditional probability, you need to know the joint probability of both events occurring. Let's say the probability of a student preferring tea and coffee is P(TC) and the probability of a student preferring tea is P(T). The conditional probability P(C|T) can be calculated using the formula:
P(C|T) = P(TC) / P(T)
For example, if P(TC) is 0.2 (20%) and P(T) is 0.4 (40%), the conditional probability would be:
P(C|T) = 0.2 / 0.4 = 0.5 (50%)
Therefore, the probability that a student who prefers tea also prefers coffee is 50%.