Aspinner is divided into three equal sections, labeled “soccer”, “basketball” and “lacrosse.” a group of friends decided to use this spinner to chose their afternoon activities on monday, wednesday and friday. at the beginning of each week, they spin the spinner three times to decide what they will play on each of the three days that week.
make a tree diagram to show the possibilities for any given week, then determine:
a) the probability that in a given week they will play lacrosse three times.
b) the probability that they will play lacrosse at least once during the week.
c) the probability that they won’t play lacrosse at all during a given week.