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Concept explainers
(a)
To find: theprobability that all three cards are face cards when eplaced each card before selecting the next card.
(a)
![Check Mark](/static/check-mark.png)
Answer to Problem 19E
The answer is: 0.0123.
Explanation of Solution
Given:
a standard deck of 52 playing cards.
Calculation:
Assume, event Abe a face card, event B be a face card and event C be face card. Since, every card is replaced before the next card is chosen, the events are independent.
From information given,
Therefore, the probability that all three cards are face cards is as follows:
Conclusion:
Therefore, the answer is: 0.0123.
(b)
To find: the probability of not replacing each card before selecting the next card and compare the probabilities.
(b)
![Check Mark](/static/check-mark.png)
Answer to Problem 19E
The answer is: 0.00995.
Explanation of Solution
Calculation:
Assume, event A be a face card, event B be a face card and event C be face card. Since, the card is not replaced before the next card is chosen, the events are dependent.
From information given,
Therefore, the probability that all three cards are face cards is as follows:
Therefore, the answer is: 0.00995.
Conclusion:
Therefore, the answer is: 0.00995.
(c)
To compare: the probabilities found in part a and part b
(c)
![Check Mark](/static/check-mark.png)
Answer to Problem 19E
One is more likely (nearly 1.2 times) to choose face card with replacement.
Explanation of Solution
Calculation:
Divide the larger probability value by the smaller one.
Thus, one is more likely (nearly 1.2 times) to choose face card with replacement.
Conclusion:
Thus, one is more likely (nearly 1.2 times) to choose face card with replacement.
Chapter 10 Solutions
Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015
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