Consider a man who has made 2 tosses of a die state whether

Question

Consider a man who has made 2 tosses of a die. State whether each of the following six statements is true or false.

Let A₁ be the event that the outcome of the first throw is a 1 or a 2.

Statement 1; A₁ depends on the first throw.

Let A₂ be the event that the outcome of the second throw is a 1 or a 2.

Statement 2; A₁ and A₂ are mutually exclusive events.

Let B₁ be the event that the sum of the outcomes is 7.

Statement 3; B₁ depends on the first throw.

Let B₂ be the event that the sum of the outcomes is 3.

Statement 4; B₁ and B₂ are mutually exclusive events.

Let C be the event that one of the outcomes is a 1 and the other is a 2.

Statement 5; A₁ U A₂ is a subevent of C. Statement 6; C is a subevent of B₂.