Question

A draws 2 cards with replacement from a pack of 52 cards & B throws a pair of dice what is the chance that A get both the cards of same suit & B get total of 6 ?

Answer 1

first card can be any thing. second has to be of the same suite.

A gets cards of same suite in draws = 1 * 13/52 = 1/4

outcomes totaling 6 are :  1 + 5, 2+4, 3+3, 4+2, 5+1
    probability =  5 / 36

answer is product of the above two probabilities, as they are independent events.

Answer 2

when A draws 2 cards with replacement:
  prob. of getting both of same suit=13/52 *13/52=1/16
(because each suit contains 13 cards,trick-when it is 'and' we should multiply their    probabilities,here card-a 'and' card-b)

in 2nd case:
  total outcomes=36
  favourable outcomes=5(5+1,2+4,3+3,1+5,4+2)
  prob.=5/36