SOLUTION: Determine the theoretical probability of the event that an applicant had a Math SAT in the range 500 - 599 or was admitted. (Round your answer to the nearest .01).

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Question 380921: Determine the theoretical probability of the event that an applicant had a Math SAT in the range 500 - 599 or was admitted. (Round your answer to the nearest .01).
Math SAT
200-399 400-499 500-599 600-699 700-800 Total
Admitted 9 210 1124 2882 5309 9534
Not Admitted 687 3512 8689 12230 5150 30268
Total Applicants 696 3722 9813 15112 10459 39802
P(E) = 1

Answer by robertb(5830) About Me  (Show Source):
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Determine the theoretical probability of the event that an applicant had a Math SAT in the range 500 - 599 or was admitted. (Round your answer to the nearest .01).
Math SAT
200-399 400-499 500-599 600-699 700-800 Total
Admitted 9 210 1124 2882 5309 9534
Not Admitted 687 3512 8689 12230 5150 30268
Total Applicants 696 3722 9813 15112 10459 39802
P(E) = 1
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N(500 - 599 or admitted) = N(500 - 599) + N(admitted) - N(500 - 599 and admitted)
= 9813 + 9534 - 1124 = 18223. Thus P(500 - 599 or admitted) = 18223/39802 = 0.46.