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Previous Year Question (PYQs)
4
A bag contains $6$ red and $4$ green balls.
A fair die is rolled and a number of balls equal to that appearing on the die is chosen from the bag at random.
The probability that all the balls selected are red is
Solution
Required probability
$=\dfrac16\sum_{k=1}^6\dfrac{\binom6k}{\binom{10}k}$
Evaluating gives $\dfrac18$
Answer: $\boxed{\dfrac18}$
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