A random sample of 97 statistics students were asked about their latest test score (pass or fail) and whether they studied for the test or not. The following contingency table gives the two-way classification of their responses.

PassFailDid Study3417Did Not Study3016

Suppose one student is randomly selected from the group. Calculate the following probabilities.

Round solutions to three decimal places, if necessary.

P

(

P(

Did Study and Pass)

=

)=

P

(

P(

Did Not Study and Fail)

=

)=

P

(

P(

Pass or Did Not Study)

=

)=

P

(

P(

Fail or Did Study)

=

)=

P

(

P(

Fail and Pass)

=

)=

P

(

P(

Pass or Fail)

=