A bag contains 10 balls out of which k are red and (10-k) are bla… | JEE Main 2026 Mathematics PYQ

MCQMediumJEE Main 2026 · 28 January, Shift 1Conditional Probability & Bayes Theorem

A bag contains $10$ balls out of which $k$ are red and $(10-k)$ are black, where $0 \le k \le 10$ . 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:

A
$\dfrac{7}{11}$
B
$\dfrac{7}{55}$
C
$\dfrac{14}{55}$
D
$\dfrac{7}{110}$

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