MEDIUM
JEE Advanced
IMPORTANT
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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

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Important Questions on Advanced Probability

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
EASY
JEE Advanced
IMPORTANT
Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 16 - Advanced Probability>Work Book Exercise 16.2>Q 7
The probability that an automobile will be stolen and found within one week is 0.0006. The probability that an automobile will be stolen, is 0.0015. The probability that a stolen automobile will be found in one week, is
HARD
JEE Advanced
IMPORTANT
Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 16 - Advanced Probability>Work Book Exercise 16.2>Q 8
A bag contains 3 red and 3 green balls and a person draws out 3 at random. He then drops 3 blue balls into the bag and again draws out 3 at  random. The chance that the 3 later balls being all of different colours 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 9
When a missile is fired from a ship, the probability that it is intercepted is 13. The probability that the missile hits the target, given that it is not intercepted, is 34. If three missiles are fired independently from the ship, then the probability that all three hits their targets, is