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# Solutions

In these videos, you will watch Georgeta working through the solutions to the maths problems you saw in the previous step.

Here you can watch Georgeta working through the solutions to the problems you saw in the previous step. As you watch, listen for the key vocabulary in each video.

## Problem 1

### Question

Michelle throws two, six-sided dice. What is the probability of the sum of the dice being seven?

### Key Vocabulary

 probability (n.) /pro – ba – BI – li – ty/ favourable (adj.) /FA – vour – a – ble/ outcomes (n.) /OUT – comes/ total (n.) /TO – tal/ dice (n.) /DICE/ times (prep.) /TIMES/ add up (v.) /add – UP/ table (n.) /TA – ble/ sum (n.) /SUM/ over (prep.) /O – ver/

### Solution

Having problems watching this video? Listen to the audio and view this PDF of the transcript and working.

## Problem 2

### Question

Box A contains 3 cards numbered 1, 2, and 3. Box B contains 2 cards numbered 2 and 3. One card is removed at random from each box.

1) Draw a tree diagram to list all the possible outcomes.

2) Find the probability that:

• the sum of the numbers is 4
• the sum of the numbers is greater than 4

### Key Vocabulary

 tree diagram (n.) /TREE/ /DI – a – gram/ possibilities (n.) /poss – i – BI – li – ties/ outcomes (n.) /OUT – comes sum (n.) /SUM/ probability (n.) /pro – ba – BI – li – ty/ equal (v.) /E – qual/ greater than (adj.) /GREAT – er/ /THAN/ half (n.) /HALF/

### Solution

Having problems watching this video? Listen to the audio and view this PDF of the transcript and working.

## Problem 3

### Question

There are 400 students at Greenfields College. They all drive different distances from home to school. Data was collected from a sample of 10 students. The table of data below shows the distances that these ten students drive from home to school.

Find the mean distance, median distance and mode distance for this sample.

Student # Distance from school
1 5 km
2 2 km
3 10 km
4 7 km
5 2 km
6 5 km
7 5 km
8 4 km
9 3 km
10 3 km

### Key Vocabulary

 population (n.) /pop – u – LA – tion/ sample (n.) /SAM – ple/ data (n.) /DA – ta mean (n.) /MEAN/ add (v.) /ADD/ divide (v.) /di –VIDE/ items (n.) /I – tems/ distance (n.) /DIS – tance/ kilometres (n.) /KIL – o – me – tres/ or /kil – O – me – tres/ median (n.) /ME – di – an/ middle (adj.) /MID – dle/ average (n.) /A – ver – age/ mode (n.) /MODE/

### Solution

Having problems watching this video? Listen to the audio and view this PDF of the transcript and working.

## Discussion

How did you solve the problems? Describe one of your solutions in the comments below.