Question

Eric tosses a coin twice. All the possible outcomes that he could see , and if he wants atleast one head, the favorable outcomes become .

• A. {HH, HT, TT}
• B. {HH, TH, TT}
• C. {HH, HT, TH, TT}
• D. {HH, HT, TH}
• E. {TT, HT, TH}

Answer 1

Answer: (C), (D)

{HH, HT, TH}

$\underset{–}{\text{Sample Space (S):}}$
Sample space is the collection of all euqally likely outcomes of an experiment.

Here, we use $\text{H}$ and $\text{T}$ to denote head and tail face of the coin, respectively.

$\therefore \text{All possible outcomes for flipping a coin twice = S}=$
$\left\{\text{HH, HT, TH, TT}\right\}$

Favorable outcome: Outcomes with atleast one head
$\therefore$ Favorable outcomes = $\left\{\text{HH, HT, TH}\right\}$