If two switches `S_(1)` and `S_(2)` have respectively 90% and 80% chances of working. Find probabilities that each of the following circuits will work.
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Consider the situation in figure. The bottom of the pot is reflecting plane mirror , S is small fish is a human eye . Refractive index of water is mu . Fish can see two images of human eye , first due to refractive only and other due to refraction and than reflection . Distance of these images from fish are S_(1) "and" S_(2) respectively . Human eye can also see the two images of fish, first due to refraction only and other due to reflection and then refraction . Distance of these images from human eye are S_(3) "and" S_(4) respectively . Match the quantities of column-I (with their value in column-(II) {:("Column I","Column II"),((A) S_(1),(p)H[1 + (1)/(2mu)]),((B)S_(2),(q) H[mu + (1)/(2)]),((C)S_(3) , (r) H[1 + (3)/(2mu)]) , ((D) S_(4) , (s) H[mu + (3)/(2)]):}
The probabilities that a student passes in Mathematics,Physics and Chemistry are m, p and c, respectively. Of these subjects, the student has a 75% chance of passing in at least one, a 50% chance of passing in at least two and a 40% chance of passing in exactly two. Which of the following relations are true?
Two satellites of earth S_(1) and S_(2) are moving in the same orbit. The mass of S_(1) is four times the mass of S_(2) . Which one of the following statements is true?
A factory produces bulbs. The probability that any one bulb is defective is (1)/(50) and they are packed in 10 boxes. From a single box, find the probability that, (i) none of the bulbs is defective (ii) exactly two bulbs are defective (iii) more than 8 bulbs work properly.
Through a point P (-2,0), tangerts PQ and PR are drawn to the parabola y^2 = 8x. Two circles each passing through the focus of the parabola and one touching at Q and other at R are drawn. Which of the following point(s) with respect to the triangle PQR lie(s) on the radical axis of the two circles?
Assume that the chances of a patient having a heart attack is 40%. It is also assumed that a meditation and yoga course reduce the risk of heart attack by 30% and prescription of certain drug reduces its chances by 25%. At a time a patient can choose any one of the two options with equal probabilities. It is given that after going through one of the two options the patient selected at random suffers a heart attack. Find the probability that the patient followed a course of meditation and yoga?
Three machines A, B and C produce respectively 30%, 50% and 20% of the total number of items of a factory. The percentage of defective output of these machines are 1%, 4% and 3% respectively. If an item is selected at random, find the probability that the item is non-defective.
There are two large parallel metallic plates S_(1) and S_(2) carrying surface charge densities sigma_(1) and sigma_(2) respectively (sigma_(1) gt sigma_(2)) placed at a distance d apart in vacuum. Find the work done by the electric field in moving a point charge q at distance a(a lt d) from S_(1) towards S_(2) along a line making an angle pi//4 with the normal to the plates.
In a YDSE experiment two slits S_(1) and S_(2) have separation of d=2mm the distance of the screen is D=(8)/(5) m source S starts moving from a very large distance towards S_(2) perpendicular to S_(1)S_(2) as shown in figure the wavelength of monochromatic light is 500 n. The number of maximas observed on the screen at point P as the moves towards S_(2) is
At two points P and Q on a screen in Young's double slit experiment, waves from slits S_(1) and S_(2) have a path difference of O and (lambda)/(4) respectively. The ratio of intensities at P and Q will be ......
KUMAR PRAKASHAN-PROBABILITY-Practice Paper - 13 (Section - D (Answer the following questions))
