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Probability

Each subtopic includes About section, revision page link, 10 preview questions, and practice CTAs.

Theoretical and Experimental Probability

Subtopic

Theoretical and Experimental Probability under Probability for Grade 10 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Out of 5050 cars that passed a gate, 1212 were red. What is the experimental probability that the next car is NOT red?

    A.

    0.240.24

    B.

    0.120.12

    C.

    0.760.76

    D.

    0.880.88

  2. 2.

    A card is picked from a standard deck. What is the probability it is either a Red card or a Black card?

    A.

    0.50.5

    B.

    0.250.25

    C.

    11

    D.

    00

  3. 3.

    A bag has 1010 Red, 55 Green, and 55 Blue items. What is the probability of selecting a Green item?

    A.

    0.50.5

    B.

    0.20.2

    C.

    0.250.25

    D.

    0.10.1

Download the worksheet for Probability - Theoretical and Experimental Probability to practice offline. It includes additional chapter-level practice questions.

Combined Events and Tree Diagrams

Subtopic

Combined Events and Tree Diagrams under Probability for Grade 10 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Two spinners each have two sections numbered 1 and 2. If both are spun, what is the probability that the sum of the numbers is 3?

    A.

    14\frac{1}{4}

    B.

    12\frac{1}{2}

    C.

    34\frac{3}{4}

    D.

    13\frac{1}{3}

  2. 2.

    If P(A)=0.2P(A) = 0.2 and P(B)=0.3P(B) = 0.3, what is P(A and B)P(A \text{ and } B) given that the events are independent?

    A.

    0.50.5

    B.

    0.10.1

    C.

    0.060.06

    D.

    0.60.6

  3. 3.

    A fair six-sided die is rolled. What is the probability of rolling a 6 and then rolling another 6?

    A.

    136\frac{1}{36}

    B.

    16\frac{1}{6}

    C.

    112\frac{1}{12}

    D.

    26\frac{2}{6}

Download the worksheet for Probability - Combined Events and Tree Diagrams to practice offline. It includes additional chapter-level practice questions.

Conditional Probability

Subtopic

Conditional Probability under Probability for Grade 10 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    A basket contains 5 pears and 5 apples. A fruit is picked and not replaced. If the first fruit picked was a pear, what is the probability the second is an apple?

    A.

    59\frac{5}{9}

    B.

    49\frac{4}{9}

    C.

    510\frac{5}{10}

    D.

    12\frac{1}{2}

  2. 2.

    Given P(A)=0.4P(A) = 0.4, P(B)=0.5P(B) = 0.5, and P(A∩B)=0.2P(A \cap B) = 0.2, calculate P(B∣A)P(B|A).

    A.

    0.4

    B.

    0.25

    C.

    0.5

    D.

    0.8

  3. 3.

    Counters numbered 1 to 10 are in a bag. Given that a counter drawn is odd, what is the probability that it is a prime number?

    A.

    25\frac{2}{5}

    B.

    35\frac{3}{5}

    C.

    45\frac{4}{5}

    D.

    12\frac{1}{2}

Download the worksheet for Probability - Conditional Probability to practice offline. It includes additional chapter-level practice questions.

Venn Diagrams in Probability

Subtopic

Venn Diagrams in Probability under Probability for Grade 10 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    In a group of 10 students, 6 study Art (AA), 4 study Music (MM), and 2 study both. What is the probability that a student studies Music but NOT Art?

    A.

    0.2

    B.

    0.4

    C.

    0.6

    D.

    0.8

  2. 2.

    Given P(A∪B)=1P(A \cup B) = 1, which of the following must be true?

    A.

    P(A) + P(B) = 1

    B.

    P(A∩B)=0P(A \cap B) = 0

    C.

    P((A∪B)′)=0P((A \cup B)') = 0

    D.

    A and B are disjoint

  3. 3.

    In a Venn diagram, n(A)=18n(A) = 18 and n(A∩B)=6n(A \cap B) = 6. What is the number of elements in the region 'A only'?

    A.

    12

    B.

    18

    C.

    6

    D.

    24

Download the worksheet for Probability - Venn Diagrams in Probability to practice offline. It includes additional chapter-level practice questions.