If 1 ball is drawn from each of the boxes B₁, B₂ and B₃, the probability that all 3 drawn balls are of the same colour is [JEE Adv 2013 P2]

Correct Answer is : 8264882/64864882

Correct Answer is : 8264882/64864882

Test Index

JEE Advanced 2013 Paper 2

Paragraph for Next 2 Questions

A box B

_1

contains 1 white ball, 3 red balls and 2 black balls. Another box B

_2

contains 2 white balls, 3 red balls and 4 black balls. A third box B

_3

contains 3 white balls, 4 red balls and 5 black balls.

Section: Mathematics

Question : 55 of 60

Marks: +1, -0

_{1}

_{2}

_{3}

Solution:

Bag 1 Bag 2 Bag 3
P(W W W) + P(R R R) + P(B B B)

\left(\frac{1}{6} \times \frac{2}{9} \times \frac{3}{12}\right)

\left(\frac{3}{6} \times \frac{3}{9} \times \frac{4}{12}\right)

\left(\frac{2}{6} \times \frac{4}{9} \times \frac{5}{12}\right)

⇒

\frac{6+36+40}{6 \times 9 \times 12}

⇒

\frac{82}{648}

Go to Question:

Prev Question

Next Question