Check sibling questions

Questi on 10

A card is drawn at random from a well shuffled deck of 52 cards. Find the probability of getting neither a red card nor a queen.

A card is drawn at random from a well shuffled deck of 52 cards. Find

Question 10 - CBSE Class 10 Sample Paper for 2019 Boards - Part 2
Question 10 - CBSE Class 10 Sample Paper for 2019 Boards - Part 3

This video is only available for Teachoo black users


Transcript

Question 10 A card is drawn at random from a well shuffled deck of 52 cards. Find the probability of getting neither a red card nor a queen. Here, we will first find Probability of getting either red card or queen Now, Number of red cards = 26 Number of queens = 4 But, out of these 4 queens, 2 are red ∴ Number of queens which are not red = 2 Now, Number of cards which are red or queen = 26 + 2 = 28 P (getting either red card or queen) = (π‘π‘’π‘šπ‘π‘’π‘Ÿ π‘œπ‘“ π‘π‘Žπ‘Ÿπ‘‘ π‘€β„Žπ‘–π‘β„Ž π‘Žπ‘Ÿπ‘’ π‘Ÿπ‘’π‘‘ π‘œπ‘Ÿ π‘žπ‘’π‘’π‘’π‘›)/(π‘‡π‘œπ‘‘π‘Žπ‘™ π‘›π‘’π‘šπ‘π‘’π‘Ÿ π‘œπ‘“ π‘π‘Žπ‘Ÿπ‘‘π‘ ) = 28/52 = 7/13 Now, P (not getting either red card or queen) = 1 – P (getting either red card or queen) = 1 – 7/13 = (13 βˆ’ 7)/13 = 6/13 ∴ Required probability is πŸ”/πŸπŸ‘

Davneet Singh's photo - Teacher, Engineer, Marketer

Made by

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.