Question

1. What are the differences between an event, and a simple event?
2. In your opinion, using the information that you have learned in this chapter, which of the following offer the strongest evidence for the likelihood of an event? Classical, empirical, or subjective probability...
3. Explain your understanding of Independent and Dependent events - give examples of conditional logic to help your fellow students understand these concepts in a more practical way.

Answer 1

1.

EVENT:

The set of outcomes from an experiment is known as an Event.

e.g. you conduct an experiment by tossing a coin. The outcome of this experiment is the coin landing ‘heads’ or ‘tails’. These can be said to be the events connected with the experiment.

SIMPLE EVENT:

If the event has only one sample point of a sample space, it is called a simple event . It is an event that consists of exactly one outcome.

e.g. Let us understand you throw a die, the possibility of 2 appearing on the die is a simple event and is given by E = {2}

2.

Classical probability offer the strongest evidence for the likelihood of an event.

3.

Independent Event:

An event that does not affect the occurrence of another subsequent event in a random experiment is an independent event.

Dependent Event:

When the occurrence of one event affects the occurrence of another subsequent event, the two events are dependent events.

e.g.:

(i)

Tossing a coin .Sample Space S = {H, T} .

Here both H and T are independent events.

(ii)

Suppose we have 5 blue marbles and 5 red marbles in a bag. We pull out one marble, which may be blue or red. Now there are 9 marbles left in the bag. What is the probability that the second marble will be red?

It depends. If the first marble was red, then the bag is left with 4 red marbles out of 9 so the probability of drawing a red marble on the second draw is 4/9 . But if the first marble we pull out of the draw is blue, then there are still 5 red marbles in the bag and the probability of pulling a red marble out of the bag is 5/9 .

The second draw is a dependent event. It depends upon what happened in the first draw.