Tangent to a circle

Angle between Tangent and Chord

Common Tangents

## Thursday, January 10, 2008

### Probability I

Sample space

Events

1. An event is a subset of outcomes which satisfies certain conditions.

2. An event may or may not occur in an experiment. An event is possible if its elements are the elements of the sample space.

3. An impossible event is an empty set.

Probability of an event

1. The probability of an event is the ratio of the number of times the event occurs to the number of trials.

2. Probability of an event A

3. Probability of an event = 1 if the event is certain to happen.

4. Probability of an event = 0 if the event is impossible to happen.

5. Expected number of times an event will occur

= Probability of the event x number of trials.

Events

1. An event is a subset of outcomes which satisfies certain conditions.

2. An event may or may not occur in an experiment. An event is possible if its elements are the elements of the sample space.

3. An impossible event is an empty set.

Probability of an event

1. The probability of an event is the ratio of the number of times the event occurs to the number of trials.

2. Probability of an event A

3. Probability of an event = 1 if the event is certain to happen.

4. Probability of an event = 0 if the event is impossible to happen.

5. Expected number of times an event will occur

= Probability of the event x number of trials.

### The Straight Line

### Mathematical Reasoning

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