# 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.
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?

 Author Credit : The Edifier