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(vii) 2/9 (viii) 4/9. (ix) 5/9 Two coins are tossed. What is the conditional probability that the two heads result, given that there is at least one head? ent

(vii) 2/9 (viii) 4/9. (ix) 5/9 Two coins are tossed. What is the conditional probability that the two heads result, given that there is at least one head? ent

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 6ECP: In Pennsylvania’s Cash 5 game, a player chooses five different numbers from 1 to 43. If these five...
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327 ndon amp bowl and thoroughly mixed. A slip is drawn. What is the probability that the number on the slip is: (i) either square or divisible by 3? oun వడు (ii) either prime or odd number? (ii) 11/20 Ans. (i) 9/20 25 An integer is chosen at random from the first 100 positive integers. Find the probability that the chosen digit is (i) multiple of 10 (ii) divisible by 8 lach (iii) divisible by 8 or 12. (ii) 3/25 (iii) 4/25 Ans. (i) 1/10 0.26 A pair of dice is thrown, find the probability tihat (i) the sum of the digits on ala the turned up faces is either 6 or 9 and (ii) it is either a doublet or less than 5. (ii) 5/18 Ans. (i) 1/4 Q.27 If A and B be events with P(AUB)= 7/8, P(AnB)%= 1/4 and P(A)= 5/8. Find P(A), P(B) and P(A n B): P(B) = 3/4, P(A n B) = 1/8 Ans. P(A) = 3/8, Q.28 The following contingeney table is set up: B B 10 20 A 20 40 A Compute the following probabilities (iii). event A (ii) event B (i) event A (vi) event A and B (v) event A and B (iv) event B (ix) event A or B (viii) event A and B (vii) event A and B event A or B (хiї) (iv) 2/3 (v) 1/9 (vi) 2/9 (x) 7/9 (xi) 7/9 (xii) 8/9 event A or B (x) event A or B Ans: (1) (xi) (iii) 2/3 1/3 (ii) 1/3 .49 Two coins are tossed. What is the conditional probability that the two heads result, given that there is at least one head? (vii) 2/9 (viii) 4/9. (ix) 5/9 be evént
Transcribed Image Text:327 ndon amp bowl and thoroughly mixed. A slip is drawn. What is the probability that the number on the slip is: (i) either square or divisible by 3? oun వడు (ii) either prime or odd number? (ii) 11/20 Ans. (i) 9/20 25 An integer is chosen at random from the first 100 positive integers. Find the probability that the chosen digit is (i) multiple of 10 (ii) divisible by 8 lach (iii) divisible by 8 or 12. (ii) 3/25 (iii) 4/25 Ans. (i) 1/10 0.26 A pair of dice is thrown, find the probability tihat (i) the sum of the digits on ala the turned up faces is either 6 or 9 and (ii) it is either a doublet or less than 5. (ii) 5/18 Ans. (i) 1/4 Q.27 If A and B be events with P(AUB)= 7/8, P(AnB)%= 1/4 and P(A)= 5/8. Find P(A), P(B) and P(A n B): P(B) = 3/4, P(A n B) = 1/8 Ans. P(A) = 3/8, Q.28 The following contingeney table is set up: B B 10 20 A 20 40 A Compute the following probabilities (iii). event A (ii) event B (i) event A (vi) event A and B (v) event A and B (iv) event B (ix) event A or B (viii) event A and B (vii) event A and B event A or B (хiї) (iv) 2/3 (v) 1/9 (vi) 2/9 (x) 7/9 (xi) 7/9 (xii) 8/9 event A or B (x) event A or B Ans: (1) (xi) (iii) 2/3 1/3 (ii) 1/3 .49 Two coins are tossed. What is the conditional probability that the two heads result, given that there is at least one head? (vii) 2/9 (viii) 4/9. (ix) 5/9 be evént
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