Conditional Probability from Two-Way Tables

The question “Do you play soccer?” was asked of 110 students. Results are shown in the table.

What is the probability a randomly selected student plays soccer?

• 42/75

• 12/35

• 54/110

• 56/110

What is the probability that a student plays on a sports team given they play an instrument?

• .7273

• .8

• .55

• .2222

What is the probability that a female is chose given they like a Toyota? 

• .525

• .4627

• .6774

• .3143

Use the table which gives the number of students who completed advanced studies and a popular health sciences program.  What is the probability that a student completed more advanced studies and the health sciences program?  

• 0.4

• 0.35

• 0.6

• 0.5833

According to the two-way table, a person who plays an instrument is most likely to:

• Not play an instrument

• Not play a team sport

• Play a team sport

• All of the above

Of the mechanical engineers, what is the probability that math is their favorite subject?

• 91

• 52%

• 17%

• 35%

What is the probability that they speak French given they are a girl? 

• 2.14

• .24

• .4

• .8571

If I calculate the probability 3/10 as the answer to a question, what was the question?

• P(plays instruments given does not play sports)

• P(plays instruments)

• P(does not play sports given plays instruments)

• P(does not play sports AND plays instruments)

What is the probability of choosing a Honda? 

• .5970

• .5373

• .4627

• .4030

What is the probability that does not play on a sports team given they do not play an instrument?

• 3/7

• 7/20

• 7/10

• 7/9