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 𝐴 and 𝐵 are two events in the sample space of a random experiment, where 𝐴𝐵, determine 𝐴𝐵.

  • A𝐵
  • B𝐴𝐵
  • C𝐴
  • D

Q2:

Suppose 𝐴 and 𝐵 are events such that 𝐵𝐴. Determine 𝐴𝐵.

  • A𝐵
  • B𝐴𝐵
  • C𝐴
  • D

Q3:

Denote by 𝐴 and 𝐵 two events with probabilities 𝑃(𝐴)=0.2 and 𝑃(𝐵)=0.47. Given that 𝑃(𝐴𝐵)=0.18, find 𝑃(𝐴𝐵).

Q4:

Denote by 𝐴 and 𝐵 two events with probabilities 𝑃(𝐴)=0.58 and 𝑃(𝐵)=0.2. Given that 𝑃(𝐴𝐵)=0.64, find 𝑃(𝐴𝐵).

Q5:

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

  • A910
  • B29
  • C110
  • D15

Q6:

For two events 𝐴 and 𝐵, 𝑃(𝐴)=35, 𝑃(𝐵)=34, and 𝑃(𝐴𝐵)=56. Work out the probability of 𝐴𝐵.

  • A920
  • B2960
  • C2720
  • D38
  • E3160

Q7:

The diagram represents the sample space 𝑆 and the events 𝐴, 𝐵, and 𝐶. Determine 𝑃(𝐴𝐵).

  • A23
  • B16
  • C12
  • D1

Q8:

Suppose that 𝐴 and 𝐵 are two events. Given that 𝑃(𝐵)=58,𝑃(𝐴𝐵)=34, and 𝐵𝐴, find 𝑃(𝐴).

  • A34
  • B18
  • C38
  • D58

Q9:

Suppose 𝐴 and 𝐵 are two events. Given that 𝑃(𝐴𝐵)=0.64 and 𝐴𝐵, find 𝑃(𝐵).

Q10:

Suppose that 𝐴 and 𝐵 are two events. Given that 𝑃(𝐵)=0.06, 𝑃(𝐴𝐵)=0.09, and 𝐵𝐴, determine 𝑃(𝐴).

This lesson includes 27 additional questions and 259 additional question variations for subscribers.

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