Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
7.2k views
in Probability by (65.3k points)

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.

1 Answer

+1 vote
by (65.5k points)
selected by
 
Best answer

Total number of cards = 52 

(i) P(One red king) = \(\frac{2}{52} = \frac{1}{26}\)

(ii) Number of a face card : 

4 king, 4 queen, 4 jack = Total 12 cards 

∴ P(1 face card) = \(\frac{12}{52} = \frac{3}{13}\)

(iii) One red colour face card = 6 

∴ P(1 red face card) = \(\frac{6}{52} = \frac{3}{13}\)

(iv) P(Heart Jack) = \(\frac{1}{52}\)

(v) P(1 spade) = \(\frac{13}{52} = \frac{1}{4}\)

(vi) P(Diamond card) = \(\frac{1}{52}\)

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...