PROBABILITY ALL CONCEPTS
>>> Probability of Event formula P(E)= n(E)/n(S)
>>> Result on Probability:
i). P(S)=1
ii). 0 < P(E) < 1
iii). P(0)=0
iv). P(A U B) = P(A) + P(B) - P (A ∩ B)
v). If Bar A denotes (not-A) then P (Bar A) = 1- P (Bar A)
1.Rolling of Fair Coin ( May be One coin, Two Coin, Three Coin, Four Coin)
For One Coin:-
Total Sample= 2^1= 2 ={ H,T }
For Two Coin:-
Total Sample= 2^2= 4 = { HH,HT,TH,TT}
For Three Coin:-
Total Sample=2^3 = 8 = { HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}
For Four Coin:-
Total Sample= 2^4 = 16 = {How to find the sample}= { First divide (16/2)=8,(8/2)=4,(4/2)=2,(2/2)=1 }
IMP::Now write vertically in first colum Eight H and Eight T, at second colum Four H and Four T, at third colum Two H and Two T, at forth colum One H and one T.
2. Rolling An Dice:-
A dice is solid cube, having 6 faces, marked 1,2,3,4,5,6 respectively. Dice outcome count like as LUDU game.
3. Probability Of Playing Cards:-
A pack of cards has 52 cards. There are four types of card ( Spades (Iska), Clubs (Chidia), Hearts and Diamonds).
Spades(Black): 13 cards, {2,3,4,5,6,7,8,9,10,Aces, Kings, Queens and Jacks }
Clubs(Black): 13 cards, {2,3,4,5,6,7,8,9,10,Aces, Kings, Queens and Jacks }
Hearts(Red): 13 cards, {2,3,4,5,6,7,8,9,10,Aces, Kings, Queens and Jacks }
Diamonds(Red): 13 cards, {2,3,4,5,6,7,8,9,10,Aces, Kings, Queens and Jacks }
Do remember Aces, Kings, Queens and Jacks are called Face Cards.
4. Picking Up a Ball:-
A bag containing balls of different colour, find the probability pick up a ball.