# Lesson Worksheet: Operations on Events Mathematics

In this worksheet, we will practice finding the probabilities of the intersection and union of events.

Q1:

Given that and are two events in the sample space of a random experiment, where , determine .

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Q2:

Suppose and are events such that . Determine .

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Q3:

Denote by and two events with probabilities and . Given that , find .

Q4:

Denote by and two events with probabilities and . Given that , find .

Q5:

A spinner has 10 equal sections labeled from 1 to 10. Determine the probability of the pointer landing on 4 or 7.

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Q6:

For two events and , , , and . Work out the probability of .

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Q7:

The diagram represents the sample space and the events , , and . Determine . • A
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Q8:

Suppose that and are two events. Given that ,, and , find .

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Q9:

Suppose and are two events. Given that and , find .

Q10:

Suppose that and are two events. Given that , , and , determine .

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