SOLUTION: In a class of 150 students, 95 are taking math (M), 77 are taking science (S), and 53 are taking both math and science. One student is picked at random. Find the probabili
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Question 1159860: In a class of 150 students, 95 are taking math (M), 77 are taking science (S), and 53 are taking both math and science. One student is picked at random. Find the probability.
P(taking math or science or both)=????????????
(Round to three decimal places as needed.) Found 2 solutions by ikleyn, Boreal:Answer by ikleyn(52754) (Show Source):
The number of those who take Math or Science or both is 95 + 77 - 53 = 119
(it is the population of the union of the sets M U S).
The probability under the problem's question is
P = = 0.793. ANSWER
You can put this solution on YOUR website! P(A or B)=P(A)+P(B)-P(A and B)
use actual numbers here rather than prob., since denominators are the same
=95+77-53
=119
so probability is 119/150 they are taking math or science or both
=0.793