From a pack of playing cards, 2 cards are drawn without replacement. Find probability that the first card is king and second card is not king.
Answers
Answer:
48/663
Step-by-step explanation:
Probability of drawing a king = 4/52
Probability of not drawing a king = 48/51
(The total number of outcomes are '51' not 52 while drawing a second card (not king) as 1 king card has been drawn and it hasn't been replaced)
Probability ( King and not king) = 4/52 × 48/51
= 192/2652
= 48/663
Concept:
Probability means the likeliness of an event to occur.
It ranges from 0 to 1.
It cannot be smaller than 0 and greater than 1.
Given:
From a pack of playing cards, 2 cards are drawn without replacement.
Find:
The probability that the first card is king and second card is not king.
Solution:
P(drawing a king) = 4 / 52
P(not drawing a king) = 48 / 51
( the denominator has 51 as the case is of without replacement. So, after 1st card is drawn, there will be only 51 cards left to draw from.)
P( King and not king) = 4 / 52 × 48 / 51
= 192 / 2652
= 48 / 663
Therefore, the probability that the first card is king and second card is not king is 48 / 663 .
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