Concept explainers
(a)
To find: The probability of the given event.
(a)
Answer to Problem 11WE
The probability for the given event is
Explanation of Solution
Given:
The event is “Both are red.”
Calculation:
To solve, required probability it is must to determine the probability of each draw.
Since when 1 marble is drawn out then 1 less of the marble left in the bag.
Therefore, there are 12 marbles in the first draw and 11 in the second draw.
Multiply together the probability of each draw to get the required probability.
The probability of the given event is as follows.
Therefore, the probability for the given event is
(b)
To find: The probability of the given event.
(b)
Answer to Problem 11WE
The probability for the given event is
Explanation of Solution
Given:
The event is “both are yellow.”
Calculation:
To solve, required probability it is must to determine the probability of each draw.
Since when 1 marble is drawn out then 1 less of the marble left in the bag.
Therefore, there are 12 marbles in the first draw and 11 in the second draw.
Multiply together the probability of each draw to get the required probability.
The probability of the given event is as follows.
Therefore, the probability for the given event is
(c)
To find: The probability of the given event.
(c)
Answer to Problem 11WE
The probability for the given event is
Explanation of Solution
Given:
The event is “Both are blue.”
Calculation:
To solve, required probability it is must to determine the probability of each draw.
Since when 1 marble is drawn out then 1 less of the marble left in the bag.
Therefore, there are 12 marbles in the first draw and 11 in the second draw.
Multiply together the probability of each draw to get the required probability.
The probability of the given event is as follows.
Therefore, the probability for the given event is
(d)
To find: The probability of the given event.
(d)
Answer to Problem 11WE
The probability for the given event is
Explanation of Solution
Given:
The event is “one is red and one is yellow.”
Calculation:
To solve, required probability it is must to determine the probability of each draw.
Since when 1 marble is drawn out then 1 less of the marble left in the bag.
Therefore, there are 12 marbles in the first draw and 11 in the second draw.
Multiply together the probability of each draw to get the required probability.
There are 2 ways to draw one red and one yellow. We can draw red first or red second.
The probability of the given event is as follows.
Therefore, the probability for the given event is
(e)
To find: The probability of the given event.
(e)
Answer to Problem 11WE
The probability for the given event is
Explanation of Solution
Given:
The event is “neither is red.”
Calculation:
To solve, required probability it is must to determine the probability of each draw.
Since when 1 marble is drawn out then 1 less of the marble left in the bag.
Therefore, there are 12 marbles in the first draw and 11 in the second draw.
Multiply together the probability of each draw to get the required probability.
If neither marble is red, then we have to get both draws to not be red.
The probability of the given event is as follows.
Therefore, the probability for the given event is
(f)
To find: The probability of the given event.
(f)
Answer to Problem 11WE
The probability for the given event is
Explanation of Solution
Given:
The event is “neither is blue.”
Calculation:
To solve, required probability it is must to determine the probability of each draw.
Since when 1 marble is drawn out then 1 less of the marble left in the bag.
Therefore, there are 12 marbles in the first draw and 11 in the second draw.
Multiply together the probability of each draw to get the required probability.
If neither marble is blue, then we have to get both draws to not be blue.
The probability of the given event is as follows.
Therefore, the probability for the given event is
Chapter 15 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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