Probability For Class 12

Probability is defined as the extent to which an event is likely to occur. It is measured as number of favourable events to occur from the total number of event that occurs. It is to be noted that the probability of an event is always \(0 \leq P_{e} \leq 1\)

Conditional Probability-

Conditional Probability is the likelihood of an event or outcome occurring based on the occurrence of a previous event or outcome. It simply depends on any event in the past which has already taken place.

If E and F are two events with the same sample space of a random experiment, then the conditional probability of the event E gives that F has occurred, i.e. \(P(E|F)\) is,

\(P(E|F) = \frac{P(E\cap F)}{P(F)}\), provided \(P(F) \neq 0\)

Probability For Class 12
Probability For Class 12

Practise This Question

A particle having a charge of 10.0 μC and mass 1 μg moves in a circle of radius 10 cm under the influence of a magnetic field of induction 0.1T. When the particle is at a point P, a uniform electric field is switched on so that the particle starts moving along the tangent with a uniform velocity. The electric field is