# One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting

(i) a king of red colour

(ii) a face card

(iii) a red face card

(iv) the jack of hearts

(v) a spade

(vi) the queen of diamonds

**Solution:**

We use the basic formula of probability to solve the problem.

Probability = Number of possible outcomes/Total number of favorable outcomes.

Total number of cards from a well-shuffled deck = 52

Number of spade cards = 13

Number of heart cards = 13

Number of diamond cards = 13

Number of club cards = 13

Total number of kings = 4

Total number of queens = 4

Total number of jacks = 4

Number of face cards = 12

(i) Probability of getting a king of red colour = Number of red colour king/Total number of outcomes

We will have 2 red kings (Heart and Diamond)

= 2/52 = 1/26

(ii) Probability of getting a face card = Number of face cards/Total number of outcomes

12/52 = 3/13

(iii) Probability of getting a red face card = Number of red face cards/Total number of outcomes

We will have 3 diamond face cards and 3 heart face cards that sum up to 6 red face cards.

= 6/52 = 3/26

(iv) Probability of getting the jack of hearts = Number of jack of hearts/Total number of outcomes

= 1/52

(v) Probability of getting a spade card = Number of spade cards/Total number of outcomes

= 13/52 = 1/4

(vi) Probability of getting the queen of diamonds = Number of possible outcomes/Total number of favourable outcomes

= 1/52

Check out more in terms of probability.

**ā Check: **NCERT Solutions for Class 10 Maths Chapter 15

**Video Solution:**

## One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting (i) a king of red colour (ii) a face card (iii) a red face card (iv) the jack of hearts (v) a spade (vi) the queen of diamonds

NCERT Solutions for Class 10 Maths Chapter 15 Exercise 15.1 Question 14

**Summary:**

If one card is drawn from a well-shuffled deck of 52 cards, then the probability of getting (i) a king of red colour, (ii) a face card, (iii) a red face card, (iv) the jack of hearts, (v) a spade, and (vi) the queen of diamonds are 1/26, 3/13, 3/26, 1/52, 1/4, and 1/52 respectively.

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