Checkpoint: Venn Diagrams

In a class of 30 students, 5 study Japanese, 13 study French, 9 study German, 2 study both Japanese and French, and 5 study both French and German.

Find the probability that a student:

does not study a language

Mathematical Equivalence

ON

In a class of 30 students, 5 study Japanese, 13 study French, 9 study German, 2 study both Japanese and French, and 5 study both French and German.

Find the probability that a student:

does not study French

Mathematical Equivalence

ON

In a class of 30 students, 5 study Japanese, 13 study French, 9 study German, 2 study both Japanese and French, and 5 study both French and German.

Find the probability that a student:

studies Japanese, or French, or both

Mathematical Equivalence

ON

In a class of 30 students, 5 study Japanese, 13 study French, 9 study German, 2 study both Japanese and French, and 5 study both French and German.

Find the probability that a student:

studies German, or French, or both

Mathematical Equivalence

ON

In a class of 30 students, 5 study Japanese, 13 study French, 9 study German, 2 study both Japanese and French, and 5 study both French and German.

Find the probability that a student:

studies Japanese or German

Mathematical Equivalence

ON

In a class of 30 students, 5 study Japanese, 13 study French, 9 study German, 2 study both Japanese and French, and 5 study both French and German.

Find the probability that a student:

studies Japanese only

Mathematical Equivalence

ON

In a class of 30 students, 5 study Japanese, 13 study French, 9 study German, 2 study both Japanese and French, and 5 study both French and German.

Find the probability that a student:

studies exactly two (2) languages

Mathematical Equivalence

ON

In a class of 30 students, 5 study Japanese, 13 study French, 9 study German, 2 study both Japanese and French, and 5 study both French and German.

Find the probability that a student:

studies at most one (1) language

Mathematical Equivalence

ON

In a class of 30 students, 5 study Japanese, 13 study French, 9 study German, 2 study both Japanese and French, and 5 study both French and German.

Find the probability that a student:

does not study Japanese

Mathematical Equivalence

ON

In a class of 30 students, 5 study Japanese, 13 study French, 9 study German, 2 study both Japanese and French, and 5 study both French and German.

Find the probability that a student:

does not study German

Mathematical Equivalence

ON