enter image description hereA school science fair team will consist of two male students two female students and one "alternate". The alternate can be of either sex. There are four males(including Ted) and five females (including Vanessa) trying out for the team. A team Roster is list of five chosen , without mention of which one of the five will be the alternate. If the five students are chosen randomly from among the nine trying out .Find the probability that the team Roster contains both Ted and Vanessa.
Favorable ways will include Ted, Vanessa plus either two males, one female or vice versa.
Total ways will include either $3$ males, $2$ females, or vice versa.
Can you now proceed ?