Nicky went to the theatre today to watch a new play.
A total of 360 people watched the new play.
2/9 of the people were men and the rest were women.
50% of the men enjoyed the play.
70% of the women enjoyed the play.
At the end of the performance a person was selected at random to win a free theatre ticket. Work out the probability that the person selected was a man who enjoyed the play.
Answer:
Since 2/9 of the people at the theatre were men, we can calculate 360 x 2/9 = 80, so 80 of the people were men.
We know 50% of the men enjoyed the play, so 80/2 = 40 men enjoyed the play.
Therefore, the probability of the selected person being a man who enjoyed the play it is 40/360 or 1/9.