Probability questions | form four Basic Mathematics

A pair of fair dice is thrown. Find the probability that the sum is 10 or
greater if a 5 appears on the first die.

Giventhat P(A') =  P (B') = and P(AnB) = ·
Find P (AUB ).

Juma and Gadi are about to sit for CSEE. Juma says "I have 50% chance of passing my examinations". Gadi says "'Probability of failing my examinations is' ¼ ''. Find the
probability that:
(i) Gadi wili pass the examinations.
(ii) Either Juma will pass the examinations or Gadi will fail the examinations.

The table below shows a distribution of students in each age group i"n a class.

What is the probability that a student chosen from a class
(i) is 17 years old?
(ii) over 16 years old?

A two digit number is written using the numbers 2, 3 and 4 without repetition.
Find the probability that the number is:
(i) even.
(ii) less than 30.

A family has four children. By using a tree diagram, find the probability that the family has:
(i) all boys.
(ii) two boys and two girls.

Find the probability that a number selected at random from the numbers
-3, -2, 0, 3, 4 and 6 will be a solution set of the equation 

Two numbers are chosen at random from 1, 2 and 3. What is the. probability that their sum is odd?

If A and B are two events such that P (A) =¼ , P (B) = ½ , and P (A n B) = 1/8  , find:
(i) P (Au B).
(ii) P (Au B)'

At a second-hand car show room, 20% of the cars have no engine, 40% have bad tyres and 15 % have no engine and have bad tyres. What is the probability that a car chosen at random has good tyres and an engine?