JEE Advanced 2013Paper 2
- Exam
- JEE Advanced
- Year
- 2013
- Paper
- Paper 2
- Subject
- Mathematics
- Chapter
- Probability
JEE Advanced 2013 · Paper 2 · Mathematics · Probability
Paragraph: A box B_ 1 contains 1 white ball, 3 red balls and 2...
Paragraph:
A box contains white ball, red balls and black balls. Another box contains white balls, red balls and black balls. A third box contains white balls, red balls and black balls.
Question: If ball is drawn from each of the boxes and , the probability that all drawn balls are of the same colour is
Question: If ball is drawn from each of the boxes and , the probability that all drawn balls are of the same colour is
Options
- A
- B
- C
- D
Correct answer
A.
Step-by-step solution
\left(\dfrac{1}{6} \times \dfrac{2}{9} \times \dfrac{3}{1 2}\right) + \left(\dfrac{3}{6} \times \dfrac{3}{9} \times \dfrac{4}{1 2}\right) + \left(\dfrac{2}{6} \times \dfrac{4}{9} \times \dfrac{5}{1 2}\right) ⇒ \dfrac{6 + 3 6 + 4 0}{6 \times 9 \times 1 2} ⇒ \dfrac{8 2}{6 4 8}