**
Probability: ****A
coin is tossed twice.**
**(a)** Indicate
a sample space for this experiment.
**(b)** Indicate
also a sample space for the number of heads obtained.
*
Solutions*
**
(****a)**** **A
coin has two sides, heads and tails. If the coin is
tossed once, then either **H** (heads)
or **T** (tails)
could occur. If it is tossed
twice, both heads could occur. Both tails could occur also.
Likewise, either heads or tails could occur on either toss. The
appropriate sample space **S** for
this experiment would be the set of possible outcomes, being **S
= {TT, HH, TH,** **HT}.** Both
letters together represent the possibilities of the first and
second toss.
(b) For
the number of heads, there could be **1** (one)
on the first toss and **1** on
the second, making it** 2** heads.
There could also be
**1 **on
the first and **0** (none)
on the second. Vice versa, there could be **0** on
the first and **1** on
the second. There could even be** 0**
on both tosses. **The
sample space then for this would be ****S
= {2, 1, 0}.**** ** |