Match the following types of events to their probability.
We know that the probability of an event E occurring is given by:
P(E)
=Number of favourable outcomesTotal number of outcomes
Let the number total number of outcomes of a certain experiment E be n.
Let a be the number of favorable outcomes in experiment E.
In the case of certain events, all the outcomes that turn up are favorable.
Hence, n=a.
∴P(E)=nn=1
The probability of certain events is 1.
In the case of Impossible events, none of the outcomes that turn up are favorable outcomes.
Hence, a=0.
∴P(E)=0n=0
The probability of impossible events is 0.
In the case of Probable events, some but not all of the outcomes that turn up are favorable outcomes.
Hence, 0<a<n.
∴P(E)=an
The probability of probable events is 0<P(E)<1
Hence:
0<P(Probable Event)<1
P(Certain Event)=1
P(Improbable Event)=0