in a class of 100students, 50 arre studying Geography, 40 are studying mathematics while 20 are studying both. Find the probability that the student chosen at random is studying neither geography nor mathematics

40% or 40/100 which reduces to 2/5

Step-by-step explanation:

total of 100 students

20 are studying both ...

only geography : 50 - 20 = 30

only math : 40 - 20 = 20

geography + math + both + neither = 100

30 + 20 + 20 + x = 100

60 + x = 100

x = 100 - 60

x = 40 ... so 40 out of 100 students are studying neither geography or math.

P (neither math or geography) = 40/100 = 0.4 = 40% <==