There are a lot of given data, so it would be better to organize them through a Venn diagram. This is a type of visual graph that shows circles respective to their area of designation. The intersection of the circles are the common number of people that applied to both. The Venn diagram for this is shown in the picture. That would be a total of 101 students.
If an initial statement is given such as, 'If a student likes science', this is conditional probability. For this problem, you multiply the probability of the students liking science and the probability of students who do not like math. Conditional probability is when 1 of the probabilities is equal to 1 because it's already deemed to happen. The other probability is 22/101, because out of 101 students, 22 are the ones who do not like math.
Probability = 1 × 22/101
Probability = 21.78%