Question

Emigration. In 2007, 51% of all emigrants to Canada were males, 82% were at least 18 years old, and 42% were male of at least 18 years of age. Find the probability that a randomly selected person who emigrated Canada in 2007 was:

a) Male and under 18 years old.
b) Either male or at least 18 years of age.
c) Female and under 18 years old.

Answer 1

• a) 9%
• b) 91%
• c) 9%

Step-by-step explanation:

It can help to make a table from the given information. The attached table is filled in from the given values (underlined in green). We know that rows and columns must add to 100%, so the remaining numbers are easily found by subtraction.

a) This is the number in the upper left corner, 9%.

b) This is the sum of the over 18 row (82%) and the number in (a), so is ...

... 82% +9% = 91%.

Alternatively, it is the sum of the male column (51%) and the over 18 female number (40%):

... 51% +40% = 91%.

It is also the complement of the number in (c).

c) This is the number in the upper center box, 9%.

It is also the complement of the number in (b).