Krishna
0

Step 1: Analyse the given question and find the total number of possibilities.

          NOTE: Total number of deck of playing cards = 52 cards. 

                                          4 suites of 13 cards each = 4 * 13 = 52

                4 suits are Spade(black), Hearts(red),Diamonds(red) and Clubs (black)

                    Each suites are ace,king,queen,jack,10,9,8,7,6,5,4,3,2

                          Kings , queens and jacks are called face card.

                      Here, Rahim removes all the hearts from the cards

                                    There are 13 hearts cards.

                      Therefore total possibilities are 52 - 13 = 39


Step 2: Calculate the probability of picking out a diamond from the remaining pack

              NOTE: There are 13 diamond cards in the remaining suites

                        So, the favourable outcomes = 13

              The probability of picking out an ace from the remaining pack

                            =P(A)=\frac{13}{39}=\frac{1}{3}

    

            The probability of picking out a diamond from the remaining pack = \frac{1}{3}