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JEE Advanced
IMPORTANT
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Fifteen coupon are numbered 1, 2, …,15, respectively. Seven coupons are selected at random one any time with replacement. The probability that the largest number appearing on a selected coupon is 9, is

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Important Questions on Advanced Probability

HARD
JEE Advanced
IMPORTANT
Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 16 - Advanced Probability>Work Book Exercise 16.1>Q 19
A pack of playing cards was found to contain only 51 cards. If the first 13 cards which are examined, are all red, then the probability that the missing card is black, is
MEDIUM
JEE Advanced
IMPORTANT
Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 16 - Advanced Probability>Work Book Exercise 16.1>Q 20
In a bag, there are three tickets numbered 1,2,3. A ticket is drawn at random and put back and this is done four times. The probability that the sum of the numbers is even, is
MEDIUM
JEE Advanced
IMPORTANT
Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 16 - Advanced Probability>Work Book Exercise 16.2>Q 1
Assume that the chances of a patient having a heart attack is 40%. It is also assumed that a meditation and yoga course reduces the risk of heart attack by 30% and prescription of certain drug reduces its chances by 25%. At a time, a patient can choose anyone 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. The probability that the patient followed a course of meditation and yoga, is
MEDIUM
JEE Advanced
IMPORTANT
Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 16 - Advanced Probability>Work Book Exercise 16.2>Q 2
If E¯ and F¯ are the complementary events of events E and F, respectively and if 0<PF<1, then
HARD
JEE Advanced
IMPORTANT
Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 16 - Advanced Probability>Work Book Exercise 16.2>Q 3
Probability that A speaks truth is 45. A coin is tossed, A reports that a head appears. The probability that actually there was head, is
MEDIUM
JEE Advanced
IMPORTANT
Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 16 - Advanced Probability>Work Book Exercise 16.2>Q 4
A company has two plants to manufacture televisions. Plant I manufactures 70% of televisions and plant II manufactures 30%. At plant I, 80% of the televisions are rated as of standard quality and at plant II, 90% of the televisions are rated as of standard quality. A television is chosen at random and is found to be of standard quality. The probability that it has come from plant II, is
MEDIUM
JEE Advanced
IMPORTANT
Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 16 - Advanced Probability>Work Book Exercise 16.2>Q 5
Three machines E1, E2 and E3 in a certain factory produce 50%, 25% and 25%, respectively of the total daily output of electric tubes. It is known that 4% of the tubes produced one each of machines E1 and E2 are defective and that 5% of those produced on E3 are defective. If one tube is picked up at random from a day's production, the probability that it is defective, is
MEDIUM
JEE Advanced
IMPORTANT
Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 16 - Advanced Probability>Work Book Exercise 16.2>Q 6
A pair of numbers is picked up randomly (without replacement) from the set 1,2,3,5,7,11,12,13,17,19. The probability that the number 11 was picked, given that the sum of the numbers was even, is nearly