CK-12 Probability and Statistics - Advanced

http://www.ck12.org Chapter 3. An Introduction to Probability

Lesson Summary

1. Aneventis something that occurs or happens with one or moreoutcomes.


2. Anexperimentis the process of taking a measurement or making an observation.


3. Asimple eventis the simplest outcome of an experiment.


4. Thesample spaceis the set of all possible outcomes of an experiment, typically denoted byS.

Review Questions

1. Consider an experiment composed of throwing a die followed by throwing a coin.
   a. List the simple events and assign a probability for each simple event.
   b. What are the probabilities of observing the following events?

A:{2 on the die,H on the coin}

B:{Even number on the die,T on the coin}

C:{Even number on the die}

D:{T on the coin}

2. The Venn diagram below shows an experiment with six simple events. EventsAandBare also shown. The
   probabilities of the simple events are:

P( 1 ) =P( 2 ) =P( 4 ) = 2 / 9

P( 3 ) =P( 5 ) =P( 6 ) = 1 / 9

a. FindP(A)

b. FindP(B)

3. A box contains two blue marbles and three red ones. Two marbles are drawn randomly without replacement.
   a. Refer to the blue marbles asB1 andB2 and the red ones asR 1 ,R 2 ,andR3. List the outcomes in the
   sample space.
   b. Determine the probability of observing each of the following events: