CBSE Class 10 Sample Paper for 2024 Boards - Maths Standard

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Question 17 - CBSE Class 10 Sample Paper for 2024 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards

Last updated at April 16, 2024 by

2 cards of hearts and 4 cards of spades are missing from a pack of 52 cards. A card is drawn at random from the remaining pack. What is the probability of getting a black card?

  (a) 22/52                       (b) 22/46                 (c) 24/52                 (d) 24/46

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Transcript

Given that 2 cards of hearts and 4 cards of spades are missing from a pack of 52 cards Since 2 cards of hearts are missing Number of red cards in the pack = 26 – 2 = 24 Also, 4 cards of spades are missing Number of black cards in the pack = 26 – 4 = 22 Thus, Total number of cards = 24 + 22 = 46 Now, Probability of getting a black card from the pack = (𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑏𝑙𝑎𝑐𝑘 𝑐𝑎𝑟𝑑𝑠 𝑙𝑒𝑓𝑡)/(𝑇𝑜𝑡𝑎𝑙. 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑐𝑎𝑟𝑑𝑠 𝑙𝑒𝑓𝑡) = 𝟐𝟐/𝟒𝟔 So, the correct answer is (b)

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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, Social Science, Physics, Chemistry, Computer Science at Teachoo.