in Education by
Suppose 5% of men and 0.25% of women have grey hair. A grey-haired person is selected at random. What is the probability of this person being male? Assume that there are equal number of males and females. Select the correct answer from above options

1 Answer

0 votes
by
 
Best answer
Assume that there are 1000 men and 1000 women MG as the men having grey hair, WG as the women having grey hair and G as the event of choosing an orator P (MG) = 1000/2000 = 1/2 P (WG) = 1000/2000 = 1/2 We know that P (G/MG) = 50/1000 = 1/20 P (G/WG) = 25/1000 = 1/40 Here we should determine P (MG/G) – probability of a randomly selected grey haired person to be male Substituting the values On further calculation = 1/40 × 80/3 = 2/3 Hence, the probability of a randomly selected grey haired person to be male is 2/3.

Related questions

0 votes
    In a class, 5% of the boys and 10% of the girls have an IQ of more than 150. In this class, 60% of the ... that the student is a boy. Select the correct answer from above options...
asked Nov 22, 2021 in Education by JackTerrance
0 votes
    Suppose 5% of men and 0.25% of women have grey hair. A grey-haired person is selected at random. What is the ... of males and females. Select the correct answer from above options...
asked Nov 17, 2021 in Education by JackTerrance
0 votes
    In a bulb factory, three machines, A, B, C, manufacture 60%, 25% and 15% of the total production respectively ... by machine C. Select the correct answer from above options...
asked Nov 22, 2021 in Education by JackTerrance
0 votes
    A company manufactures scooters at two plants, A and B. Plant A produces 80% and plant B produces 20% of the ... at plant A? Select the correct answer from above options...
asked Nov 22, 2021 in Education by JackTerrance
0 votes
    In a certain college, 4% of boys and 1% of girls are taller than 1.75 metres. Furthermore, 60% of the students ... student is a girl? Select the correct answer from above options...
asked Nov 22, 2021 in Education by JackTerrance
0 votes
    A bag A contains 1 white and 6 red balls. Another bag contains 4 white and 3 red balls. One of the bags is ... is from the bag A. Select the correct answer from above options...
asked Nov 22, 2021 in Education by JackTerrance
0 votes
    There are two bags I and II. Bag I contains 3 white and 4 black balls, and bag II contains 5 white and 6 ... was drawn from bag I. Select the correct answer from above options...
asked Nov 22, 2021 in Education by JackTerrance
0 votes
    Two groups are competing for the positions on the board of directors of a corporation. The probabilities that the ... second group. Select the correct answer from above options...
asked Nov 22, 2021 in Education by JackTerrance
0 votes
    There are four men and six women on the city councils. If one council member is selected for a committee at random, ... it is a women? Select the correct answer from above options...
asked Nov 22, 2021 in Education by JackTerrance
0 votes
    A committee of 12 with at least 5 women has to formed from 9 women and 8 men. What Is the probability ... the committee so formed. Select the correct answer from above options...
asked Nov 25, 2021 in Education by JackTerrance
0 votes
0 votes
0 votes
    A bag contains 8 red and 4 green marbles. Find the probability that a marble selected at random is red. Select the correct answer from above options...
asked Nov 25, 2021 in Education by JackTerrance
0 votes
    A bag contains 8 red and 4 green balls. Find the probability (a) ball drawn is red when one ball is selected ... of them is green. Select the correct answer from above options...
asked Nov 25, 2021 in Education by JackTerrance
0 votes
    Suppose that two cards are drawn at random from a deck of cards. Let X be the number of aces obtained. Then the value ... 1 13 (D) 2 13 Select the correct answer from above options...
asked Nov 25, 2021 in Education by JackTerrance
...