Questions: The table below provides information about 200 school that left school and their destination after leaving school: Left school after completing Grade 10 Left school after completing Grade 12 Total ------------ Full-time education (E) 14 18 32 Full-time job (J) 96 44 140 Other (O) 15 13 28 Total 125 75 200 Determine the probability that a person selected at random either went into a full-time education or went into a full-time job (rounded off to two decimals). A. 0.86 B. 0.16 C. 0.70 D. 0.23

Solution Steps

To determine the probability that a person selected at random either went into full-time education or went into a full-time job, we need to sum the number of people who went into full-time education and the number of people who went into a full-time job, and then divide by the total number of people.

We are given the following data:

• Total number of people: \(200\)
• Number of people who went into full-time education: \(32\)
• Number of people who went into a full-time job: \(140\)

To find the total number of people who either went into full-time education or a full-time job, we sum the number of people in these two categories: \[ 32 + 140 = 172 \]

The probability that a person selected at random either went into full-time education or went into a full-time job is given by: \[ P(\text{E or J}) = \frac{\text{Number of people in full-time education or job}}{\text{Total number of people}} = \frac{172}{200} \]

Simplifying the fraction and rounding to four significant digits: \[ P(\text{E or J}) = \frac{172}{200} = 0.86 \]

Final Answer