Given the experiement where you toss a coin 3 times and record an H for heads an

Question

Given the experiement where you toss a coin 3 times and record an H for heads and a T for Tails (HHT means you tossed heads then heads then tails) check all statements that are true.

Let A be the event that you toss an even number of heads and B be the event that you toss an odd number of tails. Then events A and B are disjoint.

If A is the event where you toss an even number of heads then

A={HHH, HHT, HTH, THH}

The sample space is {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}

If A is the event where you toss at least two heads then

A={HHH, HHT, HTH, THH}

Let A be the event that in your experiment you toss more heads than tails. Then A has 3 elements(outomes) in it.

Let A be the event that you toss an even number of heads and B be the event that you toss an odd number of tails. Then events A and B are disjoint.

If A is the event where you toss an even number of heads then

A={HHH, HHT, HTH, THH}

The sample space is {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}

If A is the event where you toss at least two heads then

A={HHH, HHT, HTH, THH}

Let A be the event that in your experiment you toss more heads than tails. Then A has 3 elements(outomes) in it.

Explanation / Answer

      
Let A be the event that you toss an even number of heads and B be the event that you toss an odd number of tails. Then events A and B are disjoint. [TRUE]

Disjoint events never happen together, which is this.

****************************
      
If A is the event where you toss an even number of heads then
A={HHH, HHT, HTH, THH} [FALSE. HHH as odd number of heads, 3]

***************************
      
The sample space is {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT} [TRUE]

****************************
      
If A is the event where you toss at least two heads then
A={HHH, HHT, HTH, THH} [TRUE]

********************************
      
Let A be the event that in your experiment you toss more heads than tails. Then A has 3 elements(outomes) in it. [FALSE. It has 4 elements, as shown in part D]

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