An operation which can produce some well-defined outcome is
called an experiment
2.Random experiment:
An experiment in which all possible outcome are
known and the exact out put cannot be predicted in advance is called an
random experiment
Eg of performing random experiment:
(i)rolling an unbiased dice
(ii)tossing a fair coin
(iii)drawing a card from a pack of well shuffled card
(iv)picking up a ball of certain color from a bag containing ball of different
colors
Details:
(i)when we throw a coin. Then either a head(h) or a tail (t) appears.
(ii)a dice is a solid cube, having 6 faces ,marked 1,2,3,4,5,6 respectively when
we throw a die , the outcome is the number that appear on its top face .
(iii)a pack of cards has 52 cards it has 13 cards of each suit ,namely spades,
clubs ,hearts and diamonds
Cards of spades and clubs are black cards
Cards of hearts and diamonds are red cards
There are 4 honors of each suit
These are aces ,king ,queen and jack
These are called face cards
3.Sample space :When we perform an experiment ,then the set S of all
possible outcome is called the sample space.
eg of sample space:
(i)in tossing a coin ,s={h,t}
(ii)if two coin are tossed ,then s={hh,tt,ht,th}.
(iii)in rolling a die we have,s={1,2,3,4,5,6}.
4.event:
Any subset of a sample space.
5.Probability of occurrence of an event.
let S be the sample space and E be the event .
then,E⊆S.