In 2011 a spots club offers its members three types of activities: volleyball basketball and tennis.

Question

Each member practices only one of the three activities:30% of the members practice volleyball, 20% of the members practice basketball, the rest of the members practice tennis.
The club suggests a reunion day for all its members: 20% of the members who practice volleyball participate in the reunion, 25% of the members who practice basketball participate in the reunion, 70% of the members who practice tennis participate in the reunion.
We randomly choose one member of the club. Consider the following events:
V:The chosen member practices volleyball
B:The chosen member practices basketball
T:The chosen member practices tennis
R:The chosen member attends the reunion

1)Show that the probability P(TUR) is equal to o.35, calculate P(B intersection R) and P(V intersection R).
2) The president of the club claims that half of the members are not participating in the reunion.
Justify his claim by calculations.

THANKS IN ADVANCE