Home
Class 12
MATHS
Among the examinees in an examination, ...

Among the examinees in an examination, `25%,30%` and `45%` failed in statistics, in mathematics and in at least one of statistics and mathematics respectively. An examinee is selected at random. Find the probabilities that (i) he failed in statistics only (ii) he passed in statistics if it is known that he failed in mathematics.

Text Solution

Verified by Experts

The correct Answer is:
`(i) (3)/(20), (ii) (2)/(3)`
Promotional Banner

Similar Questions

Explore conceptually related problems

Among the examinees in an examination, 25%, 30% and 45% failed in statistics, in mathematics and in at least one of statistics and mathematics respectively. An examincee is selected at random. Find the probability that he failed in statistics only.

In Class XI of a school 40 % of the students study Mathematies and 30% study Biology.10% of the class study both mathematics and biology. If a student is selected at random from the class, find the probability that he will be studying Mathemetics or Biology.

In a class of 125 students 70 passed in Mathematics, 55 in statistics, and 30 in both. Then find the probability that a student selected at random from the class has passed in only one subject.

In an examination 60% passed in mathematics,68% passes in statistics and 52% passed in both the subjects.If 42 candidates failed in both the subjects,then find the total no.of candidates,appeard in the examinations(Using the concept of set).

X is taking up subjects - mathematics, physics and chemistry in the examination. His probabilities of getting grade A in these subjects are 0.2, 0.3 and 0.5 respectively. Find the probability that he gets grade A in (i) all subjects (ii) no subject (iii) two subjects.

Three lots contain respectively 4%, 5% and 10% defective articles. One article is chosen at random from each lot. Find the probability of getting (a) exactly one defective (b) at least one defective article among the three articles drawn.

In.an examination. 50%of the condidates have passed in mathematics 50% have passed in physics, while 41% have passed in both the subjects. Find the total number of candidates if..41 of them have failed in both subjects. (By., using set theory).

In an examination, 45% of the candidates have passed in English, 40% have passed in Bengali, while 30% have passed in both the subjects. Find the total number of candidates if 90 of them have failed in both the subjects.

There are 100 students in a class. In an examination, 50 of them failed in Mathematics, 45 failed in Physics, 40 failed in Biology and 32 failed in exactly two of the three subjects. Only one student passed in all the subjects. Then the number of students failing in all the three subjects_____