Example From a deck of 52 cards,
cards are drawn randomly without replacement. What is the probability
of drawing a King of hearts at the third attempt ? If it was drawn
at the 15th attempt, what was the probability ?
Solution : Since the cards are not replaced,
Example One card is drawn randomly
from a pack of 52 cards and put aside. What is the probability of
drawing an ace or a king in a single draw, from the remaining 51
cards ?
Solution : The probability of the
required draw depends upon the results of the first draw. There
are three cases (1) First card is an ace (2) a king (3) neither
an ace nor a king.
(1) P (A) =  , if the first card is an ace.
Now in the remaining lot of 51 cards, there are 3 aces and 4 kings.
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