A bag contains 10 balls out of which... | Probability | JEE Main 2026

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JEE MAIN 2026

28-1-2026 S1

Question

A bag contains 10 balls out of which $k$ are red and $(10-k)$ are black, where $0 \leq k \leq 10$. If three balls are drawn at random without replacement and all of them are found to be black, then the probability that the bag contains 1 red and 9 black balls is:

Select the correct option:

A

$\frac{7}{11}$

B

$\frac{7}{55}$

C

$\frac{7}{110}$

D

$\frac{14}{55}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

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