1. A class of 100 students; 70 of them like mathematics, 60 like science, and 40 like both. If a student is chosen at random, using a Vern diagram, find the probability that they like mathematics but not physics.
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Answer:
Study Well po^^
To solve this problem, we can use a Venn diagram to visualize the relationships between the sets of students who like math, science, or both.
We know that there are 70 students who like math, 60 who like science, and 40 who like both. Let M represent the set of students who like math, S represent the set of students who like science, and B represent the set of students who like both.
Using the formula for the probability of an event, we can find the probability that a student likes math but not science:
P(M but not S) = P(M) - P(B)
We can substitute the values we know from the problem into this formula:
P(M but not S) = 70/100 - 40/100
P(M but not S) = 30/100
P(M but not S) = 0.3
Therefore, the probability that a student chosen at random likes math but not science is 0.3 or 30%.