Two Way Frequency Table & Venn Diagram

A class survey asks students of their theatre preferences of comedy or mystery. The results are shown in the given table. Based on this survey, what is the probability of a male from this school choosing mystery?

• 60/105

• 60/95

• 60/188

• 60/83

A survey of 15-18 year olds asked if they used Twitter, or not. The results are shown in the given table. What is the probability that a person chosen at random is female or does not use Twitter?

• 64/395

• 206/395

• 174/206

• 236/395

You are testing a theory that says the students who speak a foreign language are also strong mathematics students. You survey the freshman class and the results are shown below, in an incomplete two-way frequency table. How many students were surveyed?

• 65

• 85

• 145

• 80

Same scenario as Question 3. What is the probability that a randomly selected student can speak a foreign language and has a math average greater than or equal to 90?

• 41%

• 48%

• 82%

• 88%

Freshman girls and boys were surveyed to choose their favourite subject from the list of Math, English or Science. The results are shown in the two-way relative frequency table. If a student is chosen at random from this group, what is the probability that the student is a girl who chose math?

• 27%

• 33%

• 39%

• 40%

How many different seven-letter arrangements of the letters in the word HEXAGON can be made if each letter is used only once?

• 28

• 49

• 1040

• 5040

Given the Venn diagram, what numbers are in the set of  $C\cup D$  ?

•  $\left\{1,\ 4,\ 5,\ 9\right\}$  

•  $\left\{1,\ 4,\ 5,\ 6,\ 9\right\}$  

•  $\left\{1,\ 4,\ 5,\ 5,\ 6,\ 9,\ 9\right\}$  

•  $\left\{5,\ 9\right\}$  

Out of forty students, 14 are taking English Composition, 29 are taking Chemistry, and 5 students are in both classes. What is the probability that a randomly chosen student from this group is taking only the Chemistry class?

• 29/40

• 5/40

• 14/40

• 24/40

Same scenario as Question 8 (Out of forty students, 14 are taking English Composition, 29 are taking Chemistry, and 5 students are in both classes). Which shaded area represents the probability of a randomly selected student not taking Chemistry?

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