Question

consider the data in this two-way table of 100 students who were surveyed about their preferences for science and math.

according to this table, if a student is known to like science, what is the approximate conditional probability that they also like math?

70%
40%
57%
80%

Explanation:

Identify the given condition and target event

The condition is that the student is known to "like Science".
The target event is that the student "also likes Math".

Extract values from the two-way table

The number of students who like Science and like Math is \(40\).
The total number of students who like Science is \(50\).

Calculate the conditional probability

$$ P(\text{Likes Math} \mid \text{Likes Science}) = \frac{40}{50} = 0.80 = 80\% $$

Answer:

• 70%
• 40%
• 57%
• 80% (Correct answer)