7.1 For two events A and B, it is given that
P(A) = 0,30 ; P(B) = 0,65 and P(A or B) = 0,74.
7.1.1 Calculate P(A and B). (2)
7.1.2 Hence, represent the above information in a Venn diagram. (4)
7.1.3 Are the events A and B mutually exclusive? Give a reason. (2)
7.2 A circular spinner is divided into 12 equal sectors. Each sector is numbered from
1 to 12. When spun, the spinner has an equal chance of stopping at any of the numbers
1 to 12.
7.2.1 For any random spin, what is the probability that the spinner will stop at
a square number? (1)
7.2.2 The number that the spinner stopped at after the first spin was recorded.
The number that the spinner stopped at after the second spin was also
recorded. Calculate the probability that the sum of the two numbers at which
the spinner stopped is greater than 2. (3)
[12]
TOTAL: 100