34. Two students (say A, and B) are challenged to solve a problem in statistics. Suppose that

the probability that A will solve the problem is 40%, the probability that B will solve the
problem is 55%, and the probability that A or B will solve the problem is 25%. The
probability that the problem will be solved (that is both A and B will solve the problem) is
(a) 70%
(b) 95%
(c) 30%
(d) 75%

35. Smita has 88% chance of receiving an A grade in statistics; a 45% chance of receiving an A
in physics, and a 87% chance of receiving an A in either statistics or physics. The
probability that she will receive an A in both statistics and physics:
(a) 70%
(b) 46%
(c) 13%
(d) 50%

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