a.
To find: The probability that all 4 cards are Kings.
a.
Answer to Problem 13E
The probability that all 4 cards are kings is
Explanation of Solution
Given info:
Four cards are drawn from a deck without replacement.
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
The number of kings in a deck is 4. Then the probability that all 4 cards are kings is,
Thus, the probability that all 4 cards are
b.
To find: The probability that all 4 cards are diamonds.
b.
Answer to Problem 13E
The probability that all 4 cards are diamonds is
Explanation of Solution
Calculation:
The number of diamonds in a deck is 13. Here, the selections are made without replacement. Thus, the selections are dependent.
Then the probability that all 4 cards are diamonds is,
Thus, the probability that all 4 cards are
c.
To find: The probability that all 4 cards are red cards.
c.
Answer to Problem 13E
The probability that all 4 cards are redcards is
Explanation of Solution
Calculation:
The number of red cards in a deck is 26. Here, the selections are made without replacement. Thus, the selections are dependent.
Then the probability that all 4 cards are redcards is,
Thus, the probability that all 4 cards are
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Chapter 4 Solutions
Elementary Statistics - Formula Card
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