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GCSE Conditional Probability Questions and Answers

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Question 27 - AQA GCSE Higher 2020 Past Paper 2 - Probability, Conditional Probability,AND & OR Rules Question By Topic

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Question 08 - OCR GCSE Higher 2020 Past Paper 6 - Probability, Conditional Probability, Algebra, Algebraic Equations, Linear Equations, Simultaneous Equations Questions By Topic

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Question 11 - OCR GCSE Higher 2017 Past Paper 6 - Probability, Conditional Probability Questions By Topic

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Conditional Probability: Briefly Explained for GCSE Exams

1. What is Conditional Probability?

Conditional Proababilty comes up when it is given that something has already happened. We use conditional probability for dependent events, where one event affects the another.

1.1 AND Rule for Conditional Probability

It states that for two dependent events A and B, 

             P(A and B) = P(A) x P(B given A)

The probability if two dependent events A and B happening together is equal to the probability of event A times the probability of event B when event A has happened.

Look at the examples below to understand how to apply the above rule.

Example: The probability that Ryan loses the first running race is 0.4. If he wins the first race, the probability of him winning the second race is 0.6. 

What is the probability than Ryan wins both the races?

Solution 01 Conditional Probability

Example: From a deck of playing cards, two cards are drawn at random without replacement. What is the probability that both the cards drawn are Kings?

Solution 02 Conditional Probability

2. Calculating Condtional Probability using Tree diagrams

As the probabilities on the sets of branches in tree diagrams change, depending on the previous event, its a great way to deal with questions on Conditional Probability using tree diagrams.

Example: A bag contains 7 blue marbles and 4 green marbles. Two marbles are taken from the bag at random without replacement. Find the probability that both the marbles are of different color.

Solution 03 Conditional Probability

GCSE Topics

  • Data Visualisation (4)
  • Algebra (1,176)
  • Ratio, Proportion and Rates of Change (443)
  • Geometry and Measures (809)
  • Statistics (274)
  • Probability (258)
  • Statistical Measures (5)
  • Numbers (1,084)
    • Frequently Asked Questions
    What are the main topics in GCSE Maths?

    The main topics in GCSE Maths are:

    • Numbers
    • Algebra 
    • Ratio, Proportion and Rates of Change 
    • Geometry and Measures
    • Statistics 
    • Probability 
    • Statistical Measures 
    • Data Visualisation 

    With regular practice of GCSE Maths topic-wise questions and GCSE Maths past pacers, you can easily score high marks.

    Is GCSE Maths hard?

    Although many people think of GCSE maths as a difficult subject, with the correct training and preparation,you can master it in time. You can practice GCSE Maths  topic-wise questions daily to improve speed, accuracy, and time and to score high marks in the GCSE Maths exam.

    What is a good grade on GCSE Maths Exam?

    A grade of 4 or 5 would be considered "good" because the government has established a 4 as the passing grade; a grade of 5 is seen as a strong pass. Therefore, anything that exceeds this level would be considered good. You can practice GCSE Maths topic-wise questions to score good grades in the GCSE Maths exam.

    How can I get full marks in GCSE Maths?

    You can get a high score in GCSE Maths through meticulous practice of GCSE Maths topic-wise questions and GCSE Maths past papers.

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