Solve Q28 327ndonampbowl and thoroughly mixed. A slip is drawn. What is the probability that thenumber on the slip is:(i) either square or divisible by 3?ounవడు(ii) either prime or odd number?(ii) 11/20Ans. (i) 9/2025 An integer is chosen at random from the first 100 positive integers. Find theprobability that the chosen digit is(i) multiple of 10 (ii) divisible by 8lach(iii) divisible by 8 or 12.(ii) 3/25(iii) 4/25Ans. (i) 1/100.26 A pair of dice is thrown, find the probability tihat (i) the sum of the digits onalatheturned up faces is either 6 or 9 and (ii) it is either a doublet or less than 5.(ii) 5/18Ans. (i) 1/4Q.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) = 1/8Ans. P(A) = 3/8,Q.28 The following contingeney table is set up:BB1020A2040ACompute 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 Bevent A or B(хiї)(iv) 2/3 (v) 1/9 (vi) 2/9(x) 7/9 (xi) 7/9 (xii) 8/9event A or B(x) event A or BAns: (1)(xi)(iii) 2/31/3(ii)1/3.49 Two coins are tossed. What is the conditional probability that the two headsresult, given that there is at least one head?(vii) 2/9(viii) 4/9. (ix) 5/9be evént

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Solve Q28

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter2: The Integers

Section2.7: Introduction To Coding Theory (optional)

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Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

Solve Q28

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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