PROBABILITY
------->Choosing<-------
Experiment:
By performing some operation Some well-defined outcomes are get
Sample space:
All possible outcomes of experiment
Dice:
Single Dice Rolled 6 Outcomes(1,2,3,...6)
Two Dice Rolled 36 Outcomes((1,1),(1,2),...(1,6),
(2,1)(2,2),(2,3)....(2,6),.....
(6,1),(6,2),.....(6,6))
Coins:
Tossing Single coin (Head,Trial)
Tossing Two coin ((Head,Trial),(Trial,Head),(Trial,Trial),(Head,Head))
Cards:
Total 52 cards
Type:Spades,Clubs,Hearts,Diamonds Each have 13 cards
Color: Black: Spades,Clubs
Red: Hearts,Diamonds
Face cards:Aces,Kings,Queens,Jacks
A bag contains 6 white and 4 black balls.Two balls are drawn at random.Find the probability that they are of the same color.
Choosing of 2 balls from 10 balls both are same color
Choosing: 10C2---2 ball in total 10
Same color: White/black
6C2 2 in 6 balls OR 4C2 2 in 4 balls
OR--> +
AND--> x
So (6C2+4C2)
Formula:
Event / Sample Space
Total out come= Sample space=10C2
Events=Selecting 2 ball that are in same color=(6C2+4C2)
(6C2+4C2)/10C2
((6*5/2*1)+(4*3/2*1))/(10*9/2*1)
((15+6)/45)
(21/45)
(7/15)------Two balls are drawn at random.The probability that they are of the same color.
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