Concept explainers
(a)
To find: The probability of the given event.
(a)
Answer to Problem 12WE
The probability for the given event is
Explanation of Solution
Given:
The event is “Both are hearts.”
Calculation:
To solve, the required probability it is must to determine the probability of each draw.
Since when 2 cards are drawn, then there is one less card to draw in the deck so now there are 51 cards remaining.
Multiply the probabilities together to get the required probability.
There are 13 hearts in the first draw and 12 hearts in the second.
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 12WE
The probability for the given event is
Explanation of Solution
Given:
The event is “both are jacks.”
Calculation:
To solve, the required probability it is must to determine the probability of each draw.
Since when 2 cards are drawn, then there is one less card to draw in the deck so now there are 51 cards remaining.
Multiply the probabilities together to get the required probability.
There are 4 jacks in the first draw and 3 in the second.
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 12WE
The probability for the given event is
Explanation of Solution
Given:
The event is “neither is red.”
Calculation:
To solve, the required probability it is must to determine the probability of each draw.
Since when 2 cards are drawn, then there is one less card to draw in the deck so now there are 51 cards remaining.
Multiply the probabilities together to get the required probability.
There are 26 black cards on the first draw and 25 black cards on the second.
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 12WE
The probability for the given event is
Explanation of Solution
Given:
The event is “neither is a spade.”
Calculation:
To solve, the required probability it is must to determine the probability of each draw.
Since when 2 cards are drawn, then there is one less card to draw in the deck so now there are 51 cards remaining.
Multiply the probabilities together to get the required probability.
There are
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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