Question

Four coins are tossed.

a. Give an example of a simple event.
b. Give an example of a joint event.
c. What is the complement of getting a tail on the second coin?
d. What does the sample space consist of?

Answer 1

A simple event is an event with a single outcome, a joint event is an event with multiple outcomes occurring simultaneously, the complement is the opposite outcome, and the sample space consists of all possible outcomes.

Step-by-step explanation:

a. A simple event is an event that consists of a single outcome. For example, getting a head on the first coin toss is a simple event.

b. A joint event is an event that consists of multiple outcomes occurring simultaneously. For example, getting a head on the first coin toss and a tail on the second coin toss is a joint event.

c. The complement of getting a tail on the second coin is getting a head. Since there are two possible outcomes (head or tail) on each coin toss, the complement is the opposite outcome.

d. The sample space consists of all possible outcomes of the experiment. In this case, the sample space is {HH, HT, TH, TT}, where H represents a head and T represents a tail.