Consider Table 3.3 in X3.7.

(a) Are the events E and J mutually exclusive?

(b) Determine P(E and J).

(c) Using the values of P(E), P( J), and P(E and J) you have already determined in X3.7, evaluate P(E) + P( J). What do you notice when you compare your answer with P(E or J)?

Data from X3.7

Table 3.3 provides information about 200 school leavers and their destination after leaving school.

Determine the probabilities that a person, selected at random:

Went into full-time education

Went into a full-time job

Either went into full-time education or went into a full-time job

Left school at 16 years of age

Left school at 16 years of age and went into full-time education

Full time education, E Full time job, J Other Table 3.3 Leave school at 16 years of age 14 96 15 Leave school at an older age 18 44 13