Probability Diagrams - Tree & Venn Diagrams (CIE IGCSE Maths: Extended)

A bag contains 15 red beads and 10 yellow beads.
Ariana picks a bead at random, records its colour and replaces it in the bag.
She then picks another bead at random.

Find the probability that she picks two red beads.

Find the probability that she does not pick two red beads.

{odd numbers less than 30}
{3, 9, 15, 21, 27}
{5, 15, 25}

Complete the Venn diagram to represent this information.

A number is chosen at random from the universal set, .

What is the probability that the number is in the set ?

Here is a Venn diagram.

Write down the numbers that are in set

i) 

[1]

ii) 

[1]

One of the numbers in the diagram is chosen at random.

Find the probability that the number is in set .

The numbers from to  are shown in the Venn diagram.

List the members of the set

[1]

List the members of the set  

[1]

A number is picked at random from the numbers in the Venn diagram.

Find the probability that this number is in set but is not in set .

A and B are two events.

Some probabilities are shown on the Venn diagram.

Work out .

The probability that the school bus is late is .
If the school bus is late, the probability that Seb travels on the bus is .
If the school bus is on time, the probability that Seb travels on the bus is .

Find the probability that Seb travels on the bus.

The probability that it will rain tomorrow is .
If it rains, the probability that Rafael walks to school is .
If it does not rain, the probability that Rafael walks to school is .

Complete the tree diagram.

Calculate the probability that it will rain tomorrow and Rafael walks to school.

Calculate the probability that Rafael does not walk to school.

Box A and box B each contain blue and green pens only.
Raphael picks a pen at random from box A and Paulo picks a pen at random from box B.
The probability that Raphael picks a blue pen is .
The probability that both Raphael and Paulo pick a blue pen is .

Find the probability that Paulo picks a blue pen.

Find the probability that both Raphael and Paulo pick a green pen.