## Exam-Style Questions on Frequency Tree## Problems on Frequency Tree adapted from questions set in previous exams. |

## 1. | GCSE Foundation |

180 pupils had some homework to do for the following day.

- 75 of these pupils are boys.
- 11 of the 180 pupils did not do their homework.
- 98 of the girls did do their homework.

(a) Use this information to complete the frequency tree.

(b) One of the girls is chosen at random. What is the probability that this girl did not do her homework?

## 2. | GCSE Foundation |

The 37th Wolverhampton Sea Scouts make a game for a fund raising event.

Players can win money by picking a golden ticket from a pot.

A player chooses a pot by picking a green ball or an orange ball out of a bag.

The game is played 500 times altogether and the frequency tree shows some of the outcomes.

(a) Complete the frequency tree.

(b) A player has one go at the game. Use the frequency tree to estimate the probability that the player wins some money.

The Scouts make a profit of £350 from this game.

(c) Work out how much it costs players to have one go at this game.

The exam-style questions appearing on this site are based on those set in previous examinations (or sample assessment papers for future examinations) by the major examination boards. The wording, diagrams and figures used in these questions have been changed from the originals so that students can have fresh, relevant problem solving practice even if they have previously worked through the related exam paper.

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