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
+1 vote
8.7k views
in Mathematics by (70.6k points)

12 balls are distributed among three boxes. The probability that the first box contain 3 balls is ______ 

(a) (110/9)(2/3)10

(b) (9/110)(2/3)10

(c) [(12 3)/123] ∙ 29

(d) [(12 3)/312]

1 Answer

+1 vote
by (71.8k points)
selected by
 
Best answer

The correct option (a) (110/9)(2/3)10  

Explanation:

12 balls distributed among 3 boxes.

Each ball can be placed in any of 3 boxes. 

∴ n = 3 × 3 × ...... 3 = 312.

No. of ways that 3 ball out of 12 can be put on 1st box = 12C3. & remaining 9 balls can be distributed in remaining 2 boxes in

2 × 2 × ---- 2 = 29 ways

This can be done in 12C3 (29) ways.

∴ P(event)   = [{12C3(29)}/ (312)]

= [(220 × 29)/(310 × 9)] 

= [(110 × 210)/(9 × 310)]

= (110/9)(2/3)10.   

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

...