Concept explainers
Three coins are tossed.
a. Give an example of a simple
b. Give an example of a joint event.
c. What is the complement of a head on the first toss?
d. what does the
a.
Determine an example of a simple event when three coins are tossed.
Answer to Problem 1PS
Simple events are tossing the heads or tossing a tail
Explanation of Solution
A simple event is an event that has only one characteristic, that is, it contains the outcomes that cannot be further subdivided.
An example of a simple event, when a coin is tossed, is either getting a head or getting a tail. These outcomes represent one characteristics, and it cannot be further subdivided.
b.
Determine an example of a joint event when three coins are tossed.
Answer to Problem 1PS
Joint events are tossing three heads, tossing three tail etcetera.
Explanation of Solution
Joint Event is an event that has two or more characteristics. Joint probability is the likelihood of more than one event occurring at the same time.
An example of a joint event can be simultaneously tossing three heads
c.
Determine the complement of an event ‘head on the first toss’.
Answer to Problem 1PS
The complement of head is getting a tail.
Explanation of Solution
Complement is the subset of outcomes that are not a part of the event.
When a coin is tossed twice, there are two possible outcomes which are getting a head or getting a tail. Both these events are mutually exclusive and exhaustive events.
Therefore, if the head comes up, tail can’t and vice versa. So, the complement of a head on the first toss will be tail coming on the first toss.
d.
Determine the sample space on tossing three coins.
Explanation of Solution
Sample Space is the set of all possible outcomes. So, the sample space of tossing three coins will consist of 8 outcomes which are:
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