Ask a Question

In a large metropolitan area, the probabilities are 0.87,0.36,0.30 that a family (randomly chosen for a sample survey) owns a colour televise set, a b

in Education by
In a large metropolitan area, the probabilities are 0.87,0.36,0.30 that a family (randomly chosen for a sample survey) owns a colour televise set, a black and white television set, or both kinds of sets. What is the probability that a family owns either any one or both kinds of sets? Select the correct answer from above options

1 Answer

0 votes
by
 
Best answer
Let E1 be the event that family own colour television set and E2 be the event that family owns a black and white television set. it is given that, P(E1)=0.87 P(E2)=0.36 and, P(E1∩E2)=0.30 We have to find probability that a family owns either anyone or both kind of sets i.e., P(E1∪E2). Now, P(E1∪E2)=P(E1)+P(E2)-P(E1∩E2) [by addition theorem] =0.87+0.36-0.30 =0.93

Related questions

0 votes
Q: The probabilities that a typist will make 0, 1, 2, 3, 4 and 5 or more mistakes in typing a report are respectively, 0.12, 0.25, 0.36, 0.14, 0.08 and 0
    The probabilities that a typist will make 0, 1, 2, 3, 4 and 5 or more mistakes in typing a report are respectively, ... 0.08 and 0.11. Select the correct answer from above options...
asked Nov 15, 2021 in Education by JackTerrance
0 votes
Q: A sample space consists of 9 elementary outcomes `E_(1),E_(2),…..,E_(9)` whose probabilities are `P(E_(1))=P(E_(2))=0.08,P(E_(3))=P(E_(4))=P(E_(5))=0.
    A sample space consists of 9 elementary outcomes E1,E2, ..,E9 whose probabilities are P(E1)=P(E2)=0.08,P(E3 ... outcomes of - B , Select the correct answer from above options...
asked Nov 15, 2021 in Education by JackTerrance
0 votes
Q: Two integers `xa n dy` are chosen with replacement out of the set `{0,1,,2,3 ,10}dot` Then find the probability that `|x-y|> 5.`
    Two integers xandy are chosen with replacement out of the set {0,1,,2,3,10} . Then find the probability that |x-y ... 25 121 D. 20 121 Select the correct answer from above options...
asked Nov 15, 2021 in Education by JackTerrance
0 votes
Q: If three distinct number are chosen randomly from the first 100 natural numbers, then the probability that all three of them are divisible by both 2 a
    If three distinct number are chosen randomly from the first 100 natural numbers, then the probability that all three of ... D. 4 1155 Select the correct answer from above options...
asked Nov 15, 2021 in Education by JackTerrance
0 votes
Q: If the probabilities for A to fail in an examination is 0.2 and that for B is 0.3, then the probability that either A or B fails is
    If the probabilities for A to fail in an examination is 0.2 and that for B is 0.3, then the probability that either A ... C. ≤ .5 D. 0 Select the correct answer from above options...
asked Nov 20, 2021 in Education by JackTerrance
0 votes
Q: If the probabilities for A to fail in an examination is 0.2 and that for B is 0.3, then the probability that either A or B fails is
    If the probabilities for A to fail in an examination is 0.2 and that for B is 0.3, then the probability that either A ... C. ≤0.5 D. 0 Select the correct answer from above options...
asked Nov 15, 2021 in Education by JackTerrance
0 votes
Q: Assume that in a family, each child is equally likely to be a boy or a girl. A family with three children is chosen at random.
    Assume that in a family, each child is equally likely to be a boy or a girl. A family with three children is chosen at ... . 2/3 D. 4/7 Select the correct answer from above options...
asked Nov 20, 2021 in Education by JackTerrance
0 votes
Q: Three numbers are chosen from 1 to 30. The probability that they are not consecutive is
    Three numbers are chosen from 1 to 30. The probability that they are not consecutive is A. 142 145 B. 144 145 C. 143 145 D. 1 145 Select the correct answer from above options...
asked Nov 16, 2021 in Education by JackTerrance
0 votes
Q: Three numbers are chosen at random from numbers 1 to 30. The probability that the minimum of the chosen numbers is 9 and maximum is 25, is
    Three numbers are chosen at random from numbers 1 to 30. The probability that the minimum of the chosen numbers is ... . none of these Select the correct answer from above options...
asked Nov 15, 2021 in Education by JackTerrance
0 votes
Q: A sample space consists of 9 elementary outcomes e1, e2, ..., e9 whose probabilities are
    A sample space consists of 9 elementary outcomes e1, e2, ..., e9 whose probabilities are P(e1) = P(e2) = .08, ... of \(\overline B\). Select the correct answer from above options...
asked Nov 20, 2021 in Education by JackTerrance
0 votes
Q: Two numbers a and b are chosen at random from the set {1,2,3,..,3n}. The probability that `a^(3)+b^(3)` is divisible by 3, is
    Two numbers a and b are chosen at random from the set {1,2,3,..,3n}. The probability that a3+b3 is divisible by 3, ... ) C. 1 6 D. 1 3 Select the correct answer from above options...
asked Nov 15, 2021 in Education by JackTerrance

© Copyright 2018-2023 www.Blogmepost.com. All rights reserved. Developed by Blogmepost.

...