Drawing/Picking/Choosing Single/One Card from a Pack :: Probability : Problems & Solutions

No. Problems & Solutions
01.
What is the total number of possible choices in the experiment of drawing a card from a pack of cards.

Solution  
 
The total number of possible choices = Number of ways in which one card can be drawn from the total 52 cards

⇒ n = 52C1   Number of combinations of "n" different things taking "r" at a time.
=
52
1
= 52

No. Problems & Solutions [Click Hide/Show to display the solutions below the question]
02.
If a card is drawn from a pack of cards, then find the probability and odds for the card to be (a) an ace and (b) a club.

Solution
[1/13, 1:12]

03.
If a card is drawn at random from a pack of cards, find the probability and odds that the card is either a spade or a king.

Solution
[4/13, 4:13]

04.
From a normal pack of cards, a card is drawn at random. Find the probability and odds of not getting a jack or a king.

Solution
[9/13, 4:9]

05.
A card is drawn from an ordinary pack and a gambler bets that it is a spade or an ace. What are the odds against his winning this bet?

Solution
[4/13, 13:4]

06.
probability,experiment,favourable,unfavourable,all possible,biased,unbiased,mutually exclusive,exhaustive,elementary,simple,compound,conditional,dependent,independent,events,choices,conditional,addition,multiplication,bayes,theorem,probability
Define the Event and identify the number of favourable choices in the following cases which relate to the experiment of drawing a card from a pack of cards:
a) The card is a king or a queen.
b) Getting a number card.
c) red or black
d) Either a face card (jack, queen, king) or a six.
e) Atleast a spade or a king
f) Getting a queen of a club or king of heart
g) Either a red or a numbered card
h) Either black or an ace
i) Neither a spade nor a heart.

Solution
[8, 40, 52, 16, 16, 2, 46, 28, 26]

No. Problems for Practice
01.
Find the probability of getting diamond, when a card is drawn from a pack
02.
Find the probability of getting an ace, when a card is drawn from a pack of 52 cards
03.
When a card is drawn at random from a pack, find the probability that it may be either king (or) queen
04.
Find the probability of drawing a card which is not a diamond from a pack of 52 cards
05.
Probability of drawing and not drawing a spade in a single draw is:

The odds in favour of drawing a king or a diamond from a well shuffled pack of cards are

06.
Define the Event and identify the number of favourable choices in the following cases which relate to the experiment of picking a card from a pack of cards:
(1) Getting a diamond
(2) Either a spade or a queen
(3) Neither a hearts nor a club
(4) Either a heart or a queen
(5) Either a face card or a diamond card
(6) Not a diamond card
(7) Drawing a king or a diamond
(8) An ace of clubs
(9) A Jack, Queen or a King
(Or)
One of the court cards (Jack or queen or king)
(10) A two of a heart or a diamond
(11) A black card.
(12) Red or king
(13) Either a Queen or a Jack?

probability,experiment,favourable,unfavourable,all possible,biased,unbiased,mutually exclusive,exhaustive,elementary,simple,compound,conditional,dependent,independent,events,choices,conditional,addition,multiplication,bayes,theorem,probability
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