Permutation-Combination

6 )

Q(5 -6) There are 6 players in a cricket which is to be sent to Australian tour. The total number of members is 12.

6) If 3 particular player is always excluded

7 )

A card from a pack of 52 cards is lost. From the remaining cards of the pack, two cards are drawn and are found to be both hearts. Find the Probability of the lost card being a heart?

8 )

There are three boxes each containing 3 Pink and 5 Yellow balls and also there are 2 boxes each containing 4 Pink and 2 Yellow balls. A Yellow ball is selected at random. Find the probability that Yellow ball is from a box of the first group?

9 )

A fruit basket contains 10 Guavas and 20 Bananas out of which 3 Guavas and 5 Bananas are defective. If two fruits selected at random, what is the probability that either both are Bananas or both are non-defective?

10 )

A committee of five persons is to be chosen from a group of 10 people. The probability that a certain married couple will either serve together or not at all is?