Definition Definition For any random event or experiment, the set that is formed with all the possible outcomes is called a sample space. When any random event takes place that has multiple outcomes, the possible outcomes are grouped together in a set. The sample space can be anything, from a set of vectors to real numbers.
Chapter 11.4, Problem 28E
(a)
To determine
To explain: The outcome of the thumbtack landing point up and the thumbtack landing point down are equally likely.
(b)
To determine
To list: The sample points in the sample space of this experiment.
(c)
To determine
To explain: The probability that both thumbtacks land point up (uu) is the same as the probability that both thumbtacks land point down (dd).
(d)
To determine
To explain: The possibility to compute the theoretical probability of a thumbtack landing point up and the theoretical probability of a thumbtack landing point down.
(e)
To determine
The empirical probability of thumbtack landing point up when dropped and the empirical probability of a thumbtack landing point down when dropped a box of thumbtacks.