please refer to the photo, can i redo the question in this way ?

P( male receive, female not receive) +P( female receive , male not receive)


( (10/1000)x (170/999) ) + ( (470/1000)x (260/999) ) = 0.1393


this is based on 'without replacement' is my concept wrong?
probability of receiving bonus-img_20140725_041230-1-.jpg