Difference between revisions of "2S2122 Activity 1.1"

Revision as of 15:57, 5 February 2022

Answer the following problems individually and truthfully.
Be sure to show your solutions and please box your final answers.
Please write your complete name, student number, and section on the upper left corner of your answer sheet. No name, student number, and section, no grade.
Save your answers in pdf file type with the filename format "section_lastname_firstname_studentnumber.pdf" all in small caps. For example: "abc_wayne_bruce_201101474.pdf".
Submit your files in the respective submission bin in UVLE. Be sure to submit in the correct class!
Have fun doing these exercises :) even though it may seem boring.

Three fair coins are tossed successively.

(a) Write down the sample space. (0.1 pts)

(b) What are the events for when the first coin is a head? Let this be event $E$ . (0.15 pts)

(c) What are the events for when the second coin is a tail? Let this be event $F$ . (0.15 pts)

(d) Calculate $P(E\cup F)$ . (0.4 pts)

(e) Calculate $P(E\cap F)$ . (0.4 pts)

(f) Calculate $P({\bar {E}})$ . (0.4 pts)

(g) Calculate $P({\bar {F}})$ . (0.4 pts)

@@ Line 8: / Line 8: @@
-== Problem 1==
+== Problem 1 (2 pts) ==
+Three fair coins are tossed successively.
+(a) Write down the sample space. (0.1 pts)
+(b) What are the events for when the first coin is a head? Let this be event <math> E </math>. (0.15 pts)
+(c) What are the events for when the second coin is a tail? Let this be event <math> F </math>. (0.15 pts)
+(d) Calculate <math> P(E \cup F) </math>. (0.4 pts)
+(e) Calculate <math> P(E \cap F) </math>. (0.4 pts)
+(f) Calculate <math> P(\bar{E}) </math>. (0.4 pts)
+(g) Calculate <math> P(\bar{F}) </math>. (0.4 pts)
 == Problem 2==