University:
High School
Course:
High School Mathematics
Academic year:

2020
Views:

343

Pages:

4
Author:

Logan L

Two-Way Tables & Probability What is a Two-Way Table A two-way table displays the same information as a Venn diagram. In a two-way table, one category is represented by the rows and the other category is represented by the columns. The Venn diagram shows the results of a survey in which 80 students were asked whether they play a musical instrument and whether they speak a foreign language. Use the Venn diagram to complete the two-way table. Then use the two-way table to answer each question. Play an Instrument Do Not Play an Instrument Speak a Foreign Language l� ;,/ Do Not Speak a Foreign Language '2,6 3D t'. ,1-\ Total l,.I I Survey of 80 Students Speak a foreign language 30 z� l fo .\-[. ! ,_.y, · 1 c. How many students play an instrument and speak a foreign language? lb ::i l �0-4� ?, /'Q.p/ b. How many students speak a foreign language? ,o-k ( a. How many students play an instrument? I -·· �, c:.· I I Total L ( (0.. ·:_ l" ... , , 1. • '•. •····- {/I\ l d. How many students do _not play an instrument and do not_speak a foreign language? e. How many students play an instrument and do not speak a foreign language? Ov\ I y i5-- Using the Table Now let's say one student is selected at random. Find the probability that the student. ... a. plays an instrument. ,'./ ! Play an Instrument � b. speaks a foreign language. l( , ' Speak a Foreign Language Do Not Speak a Foreign Language ,� c. plays an instrument and speaks a foreign language. "' Total ....,., _.,. � d. does not play an instrument and does not speak a foreign language. ✓ .- ,,-- �· 'ii�-:.) � ' e. plays an instrument and does not speak a foreign language. I I (\ l ( Z,� fjo ] JC.. -- :z.5 c;-o - ' ? �i :> I 1.- ,. Do Not Play an Instrument ✓ 'D"LJ i,t) /37 tl � Total ;) } -