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Question 26 - CBSE Class 10 Sample Paper for 2022 Boards - Maths Standard [MCQ] - Solutions of Sample Papers for Class 10 Boards

Last updated at Dec. 16, 2024 by Teachoo

A card is drawn from a well shuffled deck of cards. What is the probability that the card drawn is neither a king nor a queen?

(a) 11/13  (b) 12/13   (c) 11/26   (d) 11/52

Transcript

Question 26 A card is drawn from a well shuffled deck of cards. What is the probability that the card drawn is neither a king nor a queen? (a) 11/13 (b) 12/13 (c) 11/26 (d) 11/52 Now, P(neither king or queen) = 1 − P(king or queen) Total Number of Cards = 52 Number of King and Queen cards = 8 Now, P (getting king or queen) = (𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑘𝑖𝑛𝑔 𝑜𝑟 𝑞𝑢𝑒𝑒𝑛 𝑐𝑎𝑟𝑑𝑠)/(𝑇𝑜𝑡𝑎𝑙 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑐𝑎𝑟𝑑𝑠) = 8/52 = 𝟐/𝟏𝟑 Therefore, P(neither king or queen) = 1 − P(king or queen) = 1 − 2/13 = 𝟏𝟏/𝟏𝟑 So, the correct answer is (a)
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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo