Joint probabilities
Taught by Nick Drape · AI tutor support included
In this lesson, you'll learn how to calculate joint probabilities—a crucial technique for working out the likelihood of outcomes that depend on multiple independent factors occurring together.
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In this lesson
- 0:00 Understanding joint probabilities
- 0:40 Multiplying independent probabilities together
- 1:11 Brown eyes and glasses example
- 2:52 Project investment cash flow scenario
- 3:33 Identifying qualifying cash flow combinations
- 5:50 Building probability outcome table
- 7:18 Calculating overall combined probability
About this lesson
This skill is essential for investment appraisal and risk assessment in Performance Management and Financial Management modules across CIMA and ACCA qualifications. You'll discover the core principle: when factors are independent, you multiply their individual probabilities together to find the probability of both occurring. The lesson starts with a straightforward example using everyday scenarios, then builds to a realistic investment decision problem where you need to identify which combinations of cash inflows and outflows meet your criteria, calculate the probability of each valid combination, and sum them to find the overall probability of achieving your target outcome. By working through the step-by-step methodology, you'll see how to set up a structured table to track all possible scenarios, eliminate those that don't meet your requirements, and combine probabilities systematically. This approach transforms what can feel overwhelming into a logical, manageable process—exactly what you need when tackling exam questions under time pressure.
Duration: 9m
Transcript
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