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November 14th, 2017, 05:02 AM  #1 
Newbie Joined: Jan 2017 From: india Posts: 2 Thanks: 0  Probability
A Normal pack of 52 cards is shuffled and three cards are picked at random. Draw a tree diagram to help calculate the following probability of picking a) two clubs first b)three clubs c) no clubs d) at least one club 
November 14th, 2017, 08:18 AM  #2 
Math Team Joined: Jul 2013 From: काठमाडौं, नेपाल Posts: 872 Thanks: 60 Math Focus: सामान्य गणित 
There are 13 cards for each colour set(club, diamond, spade and heart) in a pack of 52 cards. So, in the 1st draw the probability of getting a card of any specific colour is 13/52. After you have made the 1st draw the probability of getting another card with the same colour is 12/51 as one card of that particular colour is already reduced from the pack. While the probability of getting another card of any other colour is 39/51. And this thing continues in similar manner for the following draws. 

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