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Problem 6

Find the probability of drawing a diamond card in each of the two consecutive draws from a well-shuffled pack of cards, if the card drawn is not replaced after the first draw. [CBSE-2002(C)]

Problem 7

In four schools \(B_{1}, B_{2}, B_{3}, B_{4}\) the percentage of girls students is \(12,20,13,17\), respectively. From a school selected at random, one student is picked up at random, and it is found that the student is a girl. The probability that the school selected is \(B_{2}\) is (a) \(\frac{6}{31}\) (b) \(\frac{10}{31}\) (c) \(\frac{13}{62}\) (d) \(\frac{17}{62}\)

Problem 7

From a pack of 52 cards 2 cards are drawn in succession one by one without replacement. The probability that both are aces is (a) \(2 / 13\) (b) \(1 / 51\) (c) \(1 / 221\) (d) \(2 / 21\)

Problem 7

Two dice are thrown simultaneously. Find the probability of getting a sum 9 in a single throw. $$ \text { [MP-98, 2003, 2004 (C)] } $$

Problem 8

Six boys and six girls sit in a row. What is the probability that the boys and girls sit alternatively? (a) \(\frac{1}{462}\) (b) \(\frac{1}{924}\) (c) \(\frac{1}{2}\) (d) None of these

Problem 8

Find the probability of getting an odd number on the uppermost face in throwing a dice. [MP-88, 91, 93, 98]

Problem 8

What is the probability that when one die is thrown, the number appearing on top is even? (a) \(1 / 6\) (b) \(1 / 3\) (c) \(1 / 2\) (d) None of these

Problem 8

One card is drawn randomly from a pack of 52 cards. Find the probability of it being an ace or a king. \([M P-2000,2004(C)]\)

Problem 9

One ticket is drawn at random from a wellshuffled 12 ticket numbers 1 to 12 . Find the probability that the number written on the face of this ticket is a multiple of 2 or 3 . [MP-91, 94, 2000, 2001, 2008, 2009]

Problem 9

A bag contains 3 red, 4 white and 5 black balls. Three balls are drawn at random. The probability of being their different colours is (a) \(3 / 11\) (b) \(2 / 11\) (c) \(8 / 11\) (d) None of these

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