If S be the sample space and E be the event then P(E)=

Define sample space.

If E be the random experiment of throwing an unbiased coin and S be its sample space and if H and T denotes the events of occurrence of head and tail respectively, then If one coin is thrown,then find the sample space of E.

If E be the random experiment of throwing an unbiased coin and S be its sample space and if H and T denotes the events of occurrence of head and tail respectively, then If two coins are thrown simultaneously or one coin is thrown two times, then find the sample space of E.

If E be the random experiment of throwing an unbiased coin and S be its sample space and if H and T denotes the events of occurrence of head and tail respectively, then If three coins are thrown simultaneously or one coin is thrown three times, then find the sample space of E.

A die is rolled. Let E be the event "die shows 4" and F be the event "die shows even number". Are E and F mutually exclusive?

A die is thrown. If E is the event the number appearing is a multiple of 3' and F be the event 'the number appearing is even' then find whether E and F are independent ?

If E be a random experiment or rolling a dice and S be its sample space, then if one dice is rolled If two dice are rolled, find the sample space.

There are two die A and B both having six faces. Die A has three faces marked with 1, two faces marked with 2, and one face marked with 3. Die B has one face marked with 1, two faces marked with 2, and three faces marked with 3. Both dices are thrown randomly once. If E be the event of getting sum of the numbers appearing on top faces equal to x and let P(E) be the probability of event E, then P(E) is minimum when x equals to

In respect to a finite sample space define, with example Disjoint events.