|Class 11 Maths Probability||Axiomatic Approach|
Axiomatic Approach to Probability
It is another way of describing probability. Here Axioms or rules are used.
Let S be sample space of a random experiment containing outcomes ω1, ω2 ,...,ωn , then
Example: In a throw of two rigged coins, P(HH) = 1/ 4 , P(HT) = 1/ 7, P(TH) = 2/ 7, P(TT) = 9/28 . Find P(E) where E = Either both head or both Tail , E = One head , one Tail, E = Both tail
P(E) where E = Either both head or both Tail. Since both these events are mutually exclusive events
P(HH) U P(TT) = P(HH) + P(TT) = ¼ + 9/28 = 16/28 = 4/7
P(E) where , E = One head.
P(HT) U P(TH) = P(HT) + P(TH) = 1/7 + 2/7 = 3/7
P(E) where , E = Both Tail