Probability Fundamentals: Space, Events, and Basic Set Operations

Apuntes

1.2.1 Activity Operations with events 1.- The sample space for three tosses of a coin is S={hhh,hht,hth,htt,thh,tht,tth,ttt} Define events H: at least one head is observed M: more heads than tails are observed a) List the outcomes that comprise H and M. b) List the outcomes that comprise H∩M, H∪M, and Hc. 2.- A special deck of 16 cards has 4 that are blue, 4 yellow, 4 green, and 4 red. The four cards of each color are numbered from one to four. A single card is drawn at random. Define events B: the card is blue R: the card is red N: the number on the card is at most two a) List the outcomes that comprise B, R, and N. b) List the outcomes that comprise B∩R, B∪R, B∩N, R∪N, Bc, and (B∪R)c. 3.- Pieces of paper labelled with the numbers 1 to 12 are placed in a box and the box is shaken. One piece of paper is taken out and then replaced. a) What is the sample space? b) Write down the event A, representing the event of taking a piece of paper labelled with a factor of 12. c) Write down the event B, representing the event of taking a piece of paper labelled with a prime number. d) Represent A, B and S by means of a Venn diagram. 4.- Let S denote the set of whole numbers from 1 to 16, X den...