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

Algebra ->  Probability-and-statistics -> 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      Log On


   



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) About Me  (Show Source):
You can put this solution on YOUR website!
.

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 = 119%2F150 = 0.793.           ANSWER


Answer by Boreal(15235) About Me  (Show Source):
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