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A card is selected from a pack of 52 cards (a) How many points

Ex 16.3, 4 - Chapter 16 Class 11 Probability - Part 2
Ex 16.3, 4 - Chapter 16 Class 11 Probability - Part 3 Ex 16.3, 4 - Chapter 16 Class 11 Probability - Part 4 Ex 16.3, 4 - Chapter 16 Class 11 Probability - Part 5

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Ex 16.3, 4 A card is selected from a pack of 52 cards. How many points are there in the sample space? Since these are 52 cards these are 52 points in this sample space n(S) = 52 Ex 16.3, 4 (b) Calculate the probability that the card is an ace of spades. Here, n(s) = 52 There are 13 spade cards out of which only 1 is ace Let A be the event of ace spade card selected n(A) = 1 Probability that ace spade card is selected = P(A) = (π‘π‘’π‘šπ‘π‘’π‘Ÿ π‘œπ‘“ π‘Žπ‘π‘’ π‘ π‘π‘Žπ‘‘π‘’ π‘π‘Žπ‘Ÿπ‘‘)/(π‘‡π‘œπ‘‘π‘Žπ‘™ π‘›π‘’π‘šπ‘π‘’π‘Ÿ π‘œπ‘“ π‘π‘Žπ‘Ÿπ‘‘π‘ ) = (n(A))/(n(S)) = 𝟏/πŸ“πŸ Ex 16.3, 4 (c) Calculate the probability that the card is (i) an ace (ii) black card. (i) An ace There are 4 ace cards Let B be the event of getting an ace card n(B) = 4 Probability that ace card is selected from 52 cards = P(B) = (π‘π‘’π‘šπ‘π‘’π‘Ÿ π‘œπ‘“ π‘Žπ‘π‘’ π‘π‘Žπ‘Ÿπ‘‘π‘ )/(π‘‡π‘œπ‘‘π‘Žπ‘™ π‘›π‘’π‘šπ‘π‘’π‘Ÿ π‘œπ‘“ π‘π‘Žπ‘Ÿπ‘‘π‘ ) = (n(B))/(n(S)) = 4/52 = 𝟏/πŸπŸ‘ (ii) black card There are 26 black card in a pack of 52 cards Let C be the event of selecting a black card n(C) = 26 Hence P(C) = (π‘π‘’π‘šπ‘π‘’π‘Ÿ π‘œπ‘“ π‘π‘™π‘Žπ‘π‘˜ π‘π‘Žπ‘Ÿπ‘‘π‘ )/(π‘‡π‘œπ‘‘π‘Žπ‘™ π‘›π‘’π‘šπ‘π‘’π‘Ÿ π‘œπ‘“ π‘π‘Žπ‘Ÿπ‘‘π‘ ) = (n(C))/(n(S)) = 26/52 = 𝟏/𝟐

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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 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.