Textbook ExpertVerified Tutor
25 Oct 2021
Given information
An experiment consists of first rolling a die and then tossing a coin.
Let be the event that either a three or a four is rolled first, followed by landing a head on the coin toss and be the event that the first and second tosses land on heads.
Step-by-step explanation
Step 1.
The probability of an event is defined as:
The experiment consists of first rolling a die and then tossing a coin, therefore the sample space which consists of all possible outcomes is:
,
.
Let be that either a three or four is rolled first, followed by a head on the coin toss, then
Let be the event that a number less two is rolled first, followed by a head on the coin toss, then
,
.
Observe that these two events do not have anything in common.
Therefore the events are mutually exclusive.
Unlock all Textbook Solutions
Already have an account? Log in