Concept explainers
Dice: Two fair dice are rolled. The first die is red and the second is blue. An experiment consists of observing the numbers that come up on the dice.
There are 36 outcomes in the
Let A be the
Let B be the event that the red die comes up 6. List the outcomes in B.
Let C be the event that one die comes up 6 and the other comes up 1. List the outcomes C.
Are events A and B mutually exclusive? Explain.
Are events A and C mutually exclusive? Explain.
a.
To find: The list of
Answer to Problem 34E
Explanation of Solution
Two fair dies are rolled. The first die is red and the second is blue. An experiment consists of observing the numbers that come up on the die.
If we toss a die there will be six outcomes
If two dies tossed together, when get “
The possible outcomes as the ordered pairs of the form (Red die, Blue die) is
b.
To find: The outcomes of the event
Answer to Problem 34E
Explanation of Solution
In both dies, we have to get the same numbers. It means that, if we got “
Therefore the possible outcomes are
c.
To find: The outcomes of the event
Answer to Problem 34E
Explanation of Solution
In red die we need to get “
Therefore the possible outcomes are
d.
To find: The outcomes of the event
Answer to Problem 34E
Explanation of Solution
If
The possible outcome
e.
To explain: Whether the two events
Answer to Problem 34E
No, both events have common elements.
Explanation of Solution
If two events are said to be mutually exclusive, it is impossible for both to occur. But the two events
f.
To explain: Whether the two events
Answer to Problem 34E
Yes, both events have no any common outcomes.
Explanation of Solution
If the two events are said to be mutually exclusive, it is impossible for both to occur. Here, the two events
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