# Pobability All Concept In One Place

## 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.