# Problem 1

What is the total number of possible choices in the experiment of drawing a card from a pack of cards.

# Solution

In the experiment of drawing a card from a pack of cards

The total number of possible choices

= Number of ways in which one card can be drawn from the total 52 cards

⇒ n = 52C1
=
 52 1
= 52

# Problem 2

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 Ans : (a)
 1 13
, 1 : 12, (b)
 1 4
, 1 : 3

# Problem 3

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 Ans :
 4 13
, 4 : 9

# Problem 4

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 Ans :
 11 13
, 11 : 2

# Problem 5

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 Ans : 9 : 4

# Problem 6

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:
1. The card is a king or a queen.
2. Getting a number card.
3. red or black
4. Either a face card (jack, queen, king) or a six.
5. At least a spade or a king
6. Getting a queen of a club or king of heart
7. Either a red or a numbered card
8. Either black or an ace
9. Neither a spade nor a heart.
Solution Ans : [8, 40, 52, 16, 16, 2, 46, 28, 26]

# Practice Problems

1. Find the probability of getting diamond, when a card is drawn from a pack
2. Find the probability of getting an ace, when a card is drawn from a pack of 52 cards
3. When a card is drawn at random from a pack, find the probability that it may be either king (or) queen
4. Find the probability of drawing a card which is not a diamond from a pack of 52 cards
5. Probability of drawing and not drawing a spade in a single draw is:
6. The odds in favour of drawing a king or a diamond from a well shuffled pack of cards are
7. 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. 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?