In a class of 148 students, 99 are taking math (M), 75 are taking science (S), and 54 are taking both math and science. One student is picked at random. Find the probability.
P(taking math or science or both)
M
S
45
54
21
28
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Part 1
P(taking math or science or both)equals
enter your response here
(Round to three decimal places as needed.)
To find the probability of a student taking math or science or both, we need to add the number of students taking math, the number of students taking science, and subtract the number of students taking both (since they would have been counted twice).
P(taking math or science or both) = (99 + 75 - 54) / 148
P(taking math or science or both) = 120 / 148
P(taking math or science or both) ≈ 0.811
Therefore, the probability of a student taking math or science or both is approximately 0.811.