PROBABILITY

Probability : p = no.of favourable outcomes/Total number of possible outcomes
                   q(not happening) = 1 - p

Sample space when:
(i) A coin is tossed, S = {H,T}
(ii) When two coins are tossed simultaneously = {HH,HT,TH,TT}
(iii) When three coins are tossed simultaneously = {HHH,HHT,HTH,HTT,THH,THT,TTH,TTT)

Sample space of throwing a die:

(i) When a die is thrown once = {1,2,3,4,5,6}

(ii) When two dice are thrown simultaneously
             { (1,1) , (1,2) , (1,3) ,......, (1,6)
                (2,1) , (2,2) , (2,3), .......,(2,6)
                (3,1) , (3,2) , (3,3),........,(3,6)
                (4,1) , (4,2) , (4,3),.........,(4,6)
                (5,1) , (5,2) , (5,3),..........,(5,6)
                (6,1) , (6,2) , (6,3),...........(6,6)

Geometric Probability: If the total number of outcomes of a trial in a random experiment is infinite, then the definition of probability is not sufficient to find the probability of an event.In such cases, the definition of probability is modified and probability so obtained is called geometric probability. The geometric probability p of an event is given by
            p = measure of the specified part of the region/measure of the whole region
                      (measure means length,area,volume of the region etc.)

Playing cards consists of 52 cards which are divided into four suits of 13 cards each. Each suit consists of one king, one queen, one jack, one ace, and nine other cards numbered from 2 to 10. The four suits are named as spade, club, heart, and diamond.
       
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