Work Shown
P(A and B) = P(A) + P(B) - P(A or B)
P(A and B) = 0.25 + 0.38 - 0.63
P(A and B) = 0
The result of zero means events A and B cannot happen at the same time, which directly leads to the events being mutually exclusive aka disjoint.
Side note: If A and B are disjoint, then P(A or B) = P(A)+P(B). We see this is the case since P(A)+P(B) = 0.25+0.38 = 0.63 = P(A or B).