Q12 of 249 Page 31

Three cards are drawn successively, without replacement from a pack of 52 well shuffled cards. What is the probability the first two cards are kings and third card drawn is an ace?

There are 52 cards in a deck. Let A be the event that first card drawn is a king. There are 4 hearts in the pack. Hence, the probability of the first card is a king is



Let B be the event that second card is also a king without replacement. Then there are 3 king cards out of 51 cards in the pack as the cards are not replaced. Therefore, the probability of the second card is a red is



Let C be the event that third card is an ace card without replacement. Then there are 4 ace cards out of 50 cards in the pack as the cards are not replaced. Therefore, the probability of the third card is an ace card is



Then the probabilities of getting first two cards are kings and third card drawn is an ace without replacement is





The probability that first two cards are kings and third card drawn is an ace without replacement is


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10

A card is drawn from a well-shuffled deck of 52 cards and then a second card is drawn. Find the probability that the first card is a heart and the second card is diamond if the first card is not replaced.

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An urn contains 10 black and 5 white balls. Two balls are drawn from the urn one after the other without replacement. What is the probability that both drawn balls are black?

 13

A box of oranges is inspected by examining three randomly selected oranges drawn without replacement. If all the three oranges are good, the box is approved for sale otherwise it is rejected. Find the probability that a box containing 15 oranges out of which 12 are good and 3 are bad ones will be approved for sale.

 14

A bag contains 4 white, 7 black 5 red balls. Three balls are drawn one after the other without replacement. Find the probability that the balls drawn are white, black and red respectively.