(Answered) 1 consider a random experiment of tossing a coin three

Statistics

1. Consider a random experiment of tossing a coin three times.

(a) Find the sample space S₁if we wish to observe the exact sequences of heads and tails obtained.

(b) Find the sample space S₂ if we wish to observe the number of heads in the three tosses.

2. Consider an experiment of drawing two cards at random from a bag containing four cards marked with the integers 1 through 4.

(a) Find the sample space S₁ of the experiment if the first card is replaced before the second is drawn.

(b) Find the sample space S₂ of the experiment if the first card is not replaced.

3. An experiment consists of rolling a die until a 6 is obtained.

(a) Find the sample space S₁ if we are interested in all possibilities.

(b) Find the sample space S₂ if we are interested in the number of throws needed to get a 6.

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