Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
1.2k views
in Probability by (42.5k points)
closed by

In class, 30% of the students offered mathematics 20% offered chemistry and 10% offered both. If a student is selected at random, find the probability that he has offered mathematics or chemistry.

1 Answer

+1 vote
by (44.7k points)
edited by
 
Best answer

Given: Math students = 30% 

Chemistry Students = 20% 

Math & Chemistry both = 10% 

To Find: P(Math or Chemistry)

Now, P(Math) = 30% = \(\frac{30}{100}\) = 0.30

P(Chemistry)  30% = \(\frac{20}{100}\) = 0.20

P(Math ∩ Chemistry) = 10% =  \(\frac{10}{100}\) = 0.10

We know that,

P(A ∪ B) = P(A) + P(B) – P(A ∩ B) 

Therefore, 

P(Math ∪ Chemistry) = 0.30 + 0.20 – 0.10 = 0.40

Hence, number of students studying math or chemistry are 40%.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...