P
Prontia
MATHS
Daily practice

Six-a-Day

Six focused multiple-choice questions for recall, fluency and confidence. Each question has close distractors and one answer that is clearly further away.

Practice setup

Current set: GCSE Mixed - Probability

Generate a set

Choose the level and stream, then select one answer for each question.

Question 1GCSE Mixed - Probability

Probability rules

P(𝑤𝑖𝑛) = 310. Find P(not 𝑤𝑖𝑛)

Question 2GCSE Mixed - Probability

Tree diagrams

A tree diagram has P(red) = 12 then P(blue after red) = 35. Find P(red then blue) if possible from this branch

Question 3GCSE Mixed - Probability

Venn diagrams and sets

In a group of 30, 12 are in A, 8 are in B and 4 are in both. Find 𝑛(A union B)

Question 4GCSE Mixed - Probability

Sample spaces and systematic listing

A code has 4 choices for the first digit and 5 choices for the second digit. How many codes are possible?

Question 5GCSE Mixed - Probability

Relative and expected frequency

The probability of success is 0.2. Find the expected number of successes in 150 trials

Question 6GCSE Mixed - Probability

Independent events

A and B are independent. P(A) = 0.4 and P(B) = 0.5. Find P(A and B)