Solution Found!
The first card selected from a standard 52-card deck is a
Chapter 5, Problem 46E(choose chapter or problem)
Problem 46E
The first card selected from a standard 52-card deck is a king.
a. If it is returned to the deck, what is the probability that a king will be drawn on the second selection?
b. If the king is not replaced, what is the probability that a king will be drawn on the second selection?
c. What is the probability that a king will be selected on the first draw from the deck and another king on the second draw (assuming that the first king was not replaced)?
Questions & Answers
QUESTION:
Problem 46E
The first card selected from a standard 52-card deck is a king.
a. If it is returned to the deck, what is the probability that a king will be drawn on the second selection?
b. If the king is not replaced, what is the probability that a king will be drawn on the second selection?
c. What is the probability that a king will be selected on the first draw from the deck and another king on the second draw (assuming that the first king was not replaced)?
ANSWER:
Solution :
Step 1 of 3:
Given the first card selected from a standard 52-card deck is a king.
Our goal is:
a). We need to find the probability that a king will be drawn on the second selection.
b). We need to find the probability that a king will be drawn on the second selection.
c). We need to find the probability of the first draw from the deck and another king on the second draw.
a). Given if it is returned to the deck.
Then the king is returned to the deck so there are 52 cards in the total 4 kings.
Then the probability of a king will be drawn on the second selection is
P (second selection) =
P (second selection) =
P (second selection) =
P (second selection) = 0.0769
Therefore, the probability of a king will be drawn on the second selection is 0.0769.