Concept explainers
a.
To find: The probability that all 5 cards are red.
a.
Answer to Problem 29CQ
The probability that all 5 cards are red is
Explanation of Solution
The number of red cards in a desk is 26.
Calculation:
Here, the selections are made without replacement. Thus, the selections are dependent.
Multiplication rule for dependent events:
If the events A and B are dependent, the probability of occurring of event B is affected by event A, that is
Then the probability that all 5 cards are red is,
Thus, theprobability that all 5 cards are red is
b.
To find: The probability that all 5 cards are diamonds.
b.
Answer to Problem 29CQ
The probability that all 5 cards are diamonds is
Explanation of Solution
The number of diamonds in a desk is 13.
Calculation:
Here, the selections are made without replacement. Thus, the selections are dependent.
Then the probability that all 5 cards are diamonds is,
Thus, the probability that all 5 cards are diamonds is
c.
To find: The probability that all 5 cards are aces.
c.
Answer to Problem 29CQ
The probability that all 5 cards are aces is 0.
Explanation of Solution
The given number of aces in a desk is 4.
Calculation:
Here, the selections are made without replacement. Thus, the selections are dependent.
Then the probability that all 5 cards are aces is,
Thus, the probability that all 5 cards are aces is 0.
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Chapter 4 Solutions
Elementary Statistics: A Step By Step Approach
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