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Question 10 - CBSE Class 10 Sample Paper for 2019 Boards - Solutions of Sample Papers for Class 10 Boards

Last updated at Dec. 16, 2024 by Teachoo

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.

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) = (𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑐𝑎𝑟𝑑 𝑤ℎ𝑖𝑐ℎ 𝑎𝑟𝑒 𝑟𝑒𝑑 𝑜𝑟 𝑞𝑢𝑒𝑒𝑛)/(𝑇𝑜𝑡𝑎𝑙 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑐𝑎𝑟𝑑𝑠) = 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 − 7)/13 = 6/13 ∴ Required probability is 𝟔/𝟏𝟑
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Class 10
Solutions of Sample Papers for Class 10 Boards

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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