2 The number of MPs in the House of Commons was 645 at the beginning of August 2009. The genders of these MPs and the political parties to which they belonged are shown in the table.
| \multirow{2}{*}{} | Political Party | |
| | Labour | Conservative | Liberal Democrat | Other | Total |
| \multirow{2}{*}{Gender} | Male | 255 | 175 | 54 | 35 | 519 |
| Female | 94 | 18 | 9 | 5 | 126 |
| Total | 349 | 193 | 63 | 40 | 645 |
- One MP was selected at random for an interview. Calculate, to three decimal places, the probability that the MP was:
- a male Conservative;
- a male;
- a Liberal Democrat;
- Labour, given that the MP was female;
- male, given that the MP was not Labour.
- Two female MPs were selected at random for an enquiry. Calculate, to three decimal places, the probability that both MPs were Labour.
- Three MPs were selected at random for a committee. Calculate, to three decimal places, the probability that exactly one MP was Labour and exactly one MP was Conservative.