Question

In a class, 15% of total number of students failed in science, 25% of total number of students failed in maths and 10% of total number of students failed in both. how much percentage of students passed in both maths and science? 70% 80% 60% 90%

Answer 1

first take out the percentage of maths and science

Answer 2

Answer:

70%

Step-by-step explanation:

15% of total number of students failed in science,

P(S)=15%

25% of total number of students failed in maths

P(M)=25%

10% of total number of students failed in both.

P(M∩S)=10%

P(M∪S)=P(S)+P(M)-P(M∩S)

P(M∪S)=15%+25%-10%

P(M∪S)=30%

So,  students passed in both maths and science =100%- P(M∪S)=100% - 30% = 70%

Hence 70% of students passed in both maths and science