CAIE IGCSE Mathematics Core C8.3 Probability of Combined Events Topic Practice

A spinner has five sides.
Each side is painted red, blue, green, yellow or orange.
The table shows some of the probabilities of the spinner landing on each colour.

Dan spins the spinner once.

Find the probability that the spinner lands on red or blue.

There are 2 sets of traffic lights on Li's journey to work.
The probability he stops at the first set of traffic lights is 0.4 .
The probability he stops at the second set of traffic lights is 0.7 .

First set of traffic lights

$E=\{\text{students in a year group}\}$$H=\{\text{students who study History}\}$$G=\{\text{students who study Geography}\}$
80 students are in the year group.
40 students study History.

A student is chosen at random.

Work out the probability that the student does not study History and does not study Geography.