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.
☛ 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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