Higher November 2020 Paper 1 Q16

16. A tennis club has 240 members.
They each played a senior, main or junior event in one of three competitions, A, B or C.

Of the club members:

• 110 played in A,
• 30 played in a junior event,
• 25 played in the senior event in B,
• no junior played in C,
• 40 of those who played in C were in the main event.

The number of members who played in a senior event was 150% more than those who played in a junior event.
The ratio of members who played in B and C was  B : C = 6 : 7.
The probability that a member played in the junior event in A was 0·1.

A member is selected at random from the club.

Use the table to help you to find the probability that this member played in a Main event or played in B but not both.
You must show all your working. [6]