Intermediate Value Theorem : If a function f is continuous on closed interval [a, b] and f (a). f (b) < 0, i.e. ƒ (a) and ƒ (b) are opposite […]

## Mathematics

### Formation of Differential Equations – 01 (Single Arbitrary Constant)

Formation of the differential equation by eliminating the arbitrary constant: Example – 01: xy = c Solution: Given xy = c ……….. (1) Differentiating both sides w.r.t. x x + […]

### Selection of Coloured Balls – 01

Physics Chemistry Biology Mathematics Science > Mathematics > Probability > You are Here Example – 01: An urn contains 9 red, 7 white, and 4 black balls. All balls are identical. If one […]

### Probability: Problems Based on Playing Cards – 04

Physics Chemistry Biology Mathematics Science > Mathematics > Probability > You are Here Example – 01: Four cards are drawn from a well shuffled pack of 52 playing cards. Find the probability […]

### Probability: Problems Based on Playing Cards – 03

Physics Chemistry Biology Mathematics Science > Mathematics > Probability > You are Here Example – 01: Three cards are drawn from a well-shuffled pack of 52 playing cards. Find the probability of […]

### Probability: Problems Based on Playing Cards – 02

Physics Chemistry Biology Mathematics Science > Mathematics > Probability > You are Here Example – 01: Two cards are drawn from a well-shuffled pack of 52 playing cards. Find the probability of […]

### Probability: Problems Based on Playing Cards – 01

Physics Chemistry Biology Mathematics Science > Mathematics > Probability > You are Here Playing Cards: There are 52 playing cards in a pack of playing cards. There are four suites in a […]

### Probability: Problems Based on Numbered Tickets or Cards – 02

Physics Chemistry Biology Mathematics Science > Mathematics > Probability > You are Here Example – 01: Tickets numbered from 1 to 50 are mixed up together and then two tickets are drawn […]

### Probability: Problems Based on Numbered Tickets or Cards – 01

Physics Chemistry Biology Mathematics Science > Mathematics > Probability > You are Here Example – 01: Tickets numbered from 1 to 20 are mixed up together and then a ticket is drawn […]

### Checking of Probability Mass Function

Physics Chemistry Biology Mathematics Science > Mathematics > Probability > You are Here Verify whether the function can be regarded as probability mass function (p.m.f.) Example – 01: X = x 1 […]