Impossible event is denoted by φ, while Sure Event is denoted by S.
E. g. in rolling a die, impossible event is that number is more than 6 & Sure event is the event of getting number less than or equal to 6.
Simple Event has only one sample point of a sample space. E. g. in rolling a die, Simple event could be the event of getting 4.
Compound Event has more than one sample points of a sample space.
E. g. in rolling a die, Simple event could be the event of getting even number
Algebra of Events o
Complementary Event o Event‘ A or B’ o Event‘ A and B’ o
Event‘ A but not B
Complementary Event
Complementary event to A =‘ not A’
Example: If event A = Event of getting odd number in throw of a die, that is { 1, 3, 5 }
Complementary event to A = Event of getting even number in throw of a die, that is { 2, 4, 6 }
Or A’ = S- A( where S is the Sample Space)