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25 Oct 2021
Given information
An experiment consists of tossing a nickel, a dime, and a quarter. Of interest is the side the coin lands on.
Let be the event that there are at least two tails 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 is given as tossing a nickel, dime, and a quarter. Of interest is the side the coin lands on
The sample space consists of all the possible outcomes:
.
Let be the event that there are at least two tails, then
.
Let be the event that first and second tosses land on head, then
.
Observe that these two events do not have any common outcomes, therefore
Therefore, the events and are mutually exclusive.
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