Drawing/Picking/Selecting/Choosing Two/Three/More Cards from a well shuffled Pack of Cards

No.	Problems & Solutions [Click Hide/Show to display the solutions below the question]
01.	In drawing 2 cards from a pack of cards, the total number of possible out comes

Solution

Total number of cards in the pack = 52
Number of cards drawn = 2
Experiment : Drawing 2 cards from the pack of cards

Total No. of Possible Choices = Number of ways in which the two cards can be drawn from the total 52

⇒ n = ⁵²C₂

=
52 × 51
2 × 1

= 1,326

No. Problems & Solutions [Click Hide/Show to display the solutions below the question]

02.
Two cards are drawn from a pack, the probability of getting a king and a queen is
(Or)
The probability of drawing a king and a queen when two cards are drawn from a 52 is

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03.
If 7 cards are drawn at random. From a pack of 52 cards then find the probability that 3 of them are red and 4 are black.

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04.
Three cards are drawn from a pack of 52 cards. The probability that they are a king, a queen and an even numbered cards is

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05.
Four cards are succession are drawn from a pack at random .Find the probability that they are spade, a club, a heart and a diamond.
(Or)
From a normal pack of cards 4 are drawn. Find the probability that they are different suits? (Diamonds, spades, Hearts, clubs are the suits in a pack).

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06.
Two cards are drawn from a pack. Find the probability that one of them is a club and the other is not a club.

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07.
From a pack of cards. 2 cards are chosen at random. Find the probability of the event of having one card as 10 which is not hearts and another a hearts cards

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08.
Two cards are drawn simultaneously from the same set. Find the probability that none of them will be the ace of spade

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09.
Two cards are drawn simultaneously from a pack. The probability that at least one of them will be the ace of hearts is

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10.
A pack of cards contain 4 aces, 4 kings, 4 queens and 4 jacks. Two cards are drawn at random. the probability that at least one of them is an ace is

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11.
From a pack, two cards are drawn, the probability that either both are black of both are queen is

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12.
If two cards are drawn from a pack of 52 cards, then the probability that they belong to the same suit is

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13.
Five cards are drawn at random from a pack. The probability that four of them may have the same face value is

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14.

Define the Event and identify the number of favourable choices in the following

a) Three cards are drawn from a pack of 52 cards. The chance that they are an ace a king and a queen is

b) Four cards are drawn in succession from a pack of cards without replacement. What is the probability that they are all aces?

c) While shuffling a pack of 52 cards, 2 are accidentally dropped. Find the probability for two missing cards to be of different colours (colors may be taken as red and black)

d) Find the probability of getting two hearts when two cards are drawn from a pack.

e) From a pack of 52 cards, four cards are drawn. Find the chance that they will be four of the same suit?

f) If 2 cards are drawn from a pack of cards, then find the probability of getting at least one club.

Solution
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No. Problems for Practice

01.
Two cards are drawn at random from a pack of 52 cards. The probability that one of them is black and the other is red is

02.
If two cards are drawn in succession from a pack of 52 cards, the probability that the two cards are aces is

02.
Two cards are drawn from a pack of 52 cards. The probability that the two cards are jacks is

02.
If two cards are drawn from a well shuffled pack, the probability that at least one of the two is hearts is

02.
If 6 cards are drawn at random, from a pack of cards, then find the probability to get 3 red and 3 black cards.

02.
If three cards are drawn from a pack of cards, then find the probability for the cards to be a king, a queen and a jack.

02.
Two cards are drawn at random from a pack. The probability that one of them is a spade and the other is not a spade is

02.
Two cards are drawn from a pack. Find the probability that one of them is a spade and the other is not a spade.

03.
If 4 cards are drawn at a time from a pack of cards then find the probability that 4 cards to be a king, a queen, a jack and an ace.

04.
From a pack, two cards are drawn, the probability that either both are red on both are kings is

05.
From a pack, two cards are drawn, what is the probability that either both are spade or both are queens?

05.
From a pack two cards are drawn. Find the probability that either both are black or both are aces.

Author Credit : The Edifier