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    A bag contains 4 red and 6 black balls. A ball is drawn at random from the bag, its colour is observed and this ball along with two additional balls of the same colour are returned to the bag. If now a ball is drawn at random from the bag, then the probability that this drawn ball is red, is :

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    A box contains 15 green and 10 yellow balls. If 10 balls are randomly drawn, one-by-one, withreplacement, then the variance of the number of green balls drawn is:

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    Let k be an integer such that the triangle with vertices (k, – 3k), (5, k) and (–k, 2) has area 28 sq. units. Then the orthocentre of this triangle is at the point:

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