# Monthly Archives November 2013

## Probability NCERT Solutions Math Class 12 CBSE Questions

Question 1

Given that E and F are events such that P(E) = 0.6, P(F) = 0.3 and P(E ∩ F) = 0.2, find P (E|F) and P(F|E).

Question 2

Compute P(A|B), if P(B) = 0.5 and P (A ∩ B) = 0.32

Question 3

If P(A) = 0.8, P(B) = 0.5 and P(B|A) = 0.4, find

(i) P(A ∩ B) (ii) P(A|B) (iii) P(A ∪ B)

Question 4

Evaluate P (A ∪ B), if 2P (A) = P (B) =and P(A|B) =

Question 5

If P(A), P(B) =and P(A ∪ B) =, find

(i) P(A ∩ B) (ii) P(A|B) (iii) P(B|A)

Question 6

A coin is tossed three times, where

(i) E: head on third toss, F: heads on first two tosses

(iii) E: at most two tails, F: at least one tail

Question 7

A black and a red dice are rolled.

(a) Find the conditional probability of obtaining a sum greater than 9, given that the black die resulted in a 5.

(b) F...

## Linear Programming NCERT Solutions Math Class 12 CBSE

Question 1

Maximise Z = 3x + 4y

Subject to the constraints:

Question 2

Maximise Z = x + y, subject to.

Question 3

Minimise Z = −3x + 4y

subject to.

Question 4

Maximise Z = 5x + 3y

subject to.

Question 5

Minimise Z = 3x + 5y

such that.

Question 6

Maximise Z = 3x + 2y

subject to.

Question 7

Minimise and Maximise Z = 5x + 10y

subject to.

Question 8

Minimise Z = x + 2y

subject to.

Question 9

Minimise and Maximise Z = x + 2y

subject to.

Question 10

Maximise Z = − x + 2y, subject to the constraints:

.

Question 11

A toy company manufactures two types of dolls, A and B. Market tests and available resources have indicated that the combined production level should not exceed 1200 dolls per week and the demand for dolls of type B is at most half of that for dolls of type A...