Coloured Sheep

A Maths Starter of The Day

There are 9 sheep in a field as shown here:

Yellow Sheep Blue Sheep Blue Sheep Green Sheep Green Sheep Green Sheep Green Sheep Red Sheep Red Sheep

1. How many sheep can say that there is at least one other sheep here of the same colour?

2. The farmer takes one sheep from the field at random. What is the probability it is
    a) Yellow   b) Blue   c) Green   d) Not red ?

[Give your answers as decimals to two decimal places]


Share

Topics: Starter | Probability

  • Mr Heeley's Y7 lambs, Rawthorpe High School
  •  
  • We think your joke is a bit woolley! We think, however, that this is a fine starter, in fact it's baaarilliant!!
    God bless you x
  • Mrs. Grace, Hardwick School, South Australia
  •  
  • This is a great starter to begin the day with. The students thought that it was great.
  • MSJ, 8x3
  •  
  • Keenan thought it was Baarilliant.
  • Mrs Porter, Upholland High
  •  
  • Fantastic starter - have used it with all years of all abilities Level 4 to A* - just change the questions to get some very difficult conditional probability questions.
    Also planning to use it to introduce ratio - it has been the most useful starter so far.
  • M Phillips, Dorset
  •  
  • Great activity.
    Has the word "not" been forgotten in the part d answer?
  • Transum,
  •  
  • Thanks M Phillips for pointing out the error. It has now been corrected.
  • Zoe Thompson, Channing Junior School, Highgate
  •  
  • I found this GREAT!! I loved it and found it challenging but not so I didn't want to do it!
    It has made maths REALLY fun for the kids, and it is a GREAT way for the kids to start the day!
  • Mr Khaira, Marriotts School
  •  
  • I think this an absolutely delightful question but surely the answer is 12, I don't get it.
  • Transum,
  •  
  • A yellow sheep has two lambs. One of them is male. What is the probability that the other lamb is male? Some say one half but others say that there are four different options. The two lambs, in order of age, could be MM, MF, FM or FF. If we know one is a male that eliminates the FF option. That leaves three possibilities, MM, MF and FM. Two out of these three possibilities have one of the lambs being female so the probability that the other lamb is male is one third. So is the correct answer one half or one third?
  • Mr Smith & S1 Class., Renfrew High School
  •  
  • Transum, surely an array such as MM, MF, FM and FF is order specific and whilst you eliminate FF correctly, should FM not also be removed given that the 'first' lamb was not F. This would leave you with MM and MF as the only two remaining options and with MM being the only one producing a further M lamb then the probabilty returns to the original predicition of 1/2. Just our thoughts on a very thought provoking question. Thank you.
  • Mr Smith & S1 Class., Renfrew High School
  •  
  • We are humbled and have realised we misread the question, we made the assumption that it was the gender of the first lamb, but upon re-reading the question Ben pointed out that it simply said 'one lamb' not the 'first lamb'. Thoroughly enjoyable.

How did you use this starter? Can you suggest how teachers could present or develop this resource? Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for Maths teachers anywhere in the world.
Click here to enter your comments.

If you don't have the time to provide feedback we'd really appreciate it if you could give this page a score! We are constantly improving and adding to these starters so it would be really helpful to know which ones are most useful. Simply click on a button below:

Excellent, I would like to see more like this
Good, achieved the results I required
Satisfactory
Didn't really capture the interest of the students
Not for me! I wouldn't use this type of activity.

This starter has scored a mean of 3.2 out of 5 based on 184 votes.


Previous Day | This starter is for 19 May | Next Day

 

Answers

Note to teacher: Doing this activity once with a class helps students develop strategies. It is only when they do this activity a second time that they will have the opportunity to practise those strategies. That is when the learning is consolidated. Click the button above to regenerate another version of this starter from random numbers.


Laptops In Lessons

Teacher, do your students have access to computers?
Do they have iPads or Laptops in Lessons?

Whether your students each have a TabletPC, a Surface or a Mac, this activity lends itself to eLearning (Engaged Learning).

Laptops In Lessons

Here a concise URL for a version of this page without the comments.

Transum.org/go/?Start=May19

Here is the URL which will take them to a related student activity.

Transum.org/go/?to=prob

 

Extension

Striped Sheep

The wool on each of these sheep is of two different colours.

Striped Sheep

What is the probability of two sheep being picked at random sharing a wool colour?

 

 


Your access to the majority of the Transum resources continues to be free but you can help support the continued growth of the website by doing your Amazon shopping using the links on this page. Below is an Amazon search box and some items chosen and recommended by Transum Mathematics to get you started.

Graphic Display Calculator

This handheld device and companion software are designed to generate opportunities for classroom exploration and to promote greater understanding of core concepts in the mathematics and science classroom. TI-Nspire technology has been developed through sound classroom research which shows that "linked multiple representation are crucial in development of conceptual understanding and it is feasible only through use of a technology such as TI-Nspire, which provides simultaneous, dynamically linked representations of graphs, equations, data, and verbal explanations, such that a change in one representation is immediately reflected in the others.

For the young people in your life it is a great investment. Bought as a gift for a special occasion but useful for many years to come as the young person turns into an A-level candidate then works their way through university. more...

iPad Air

The analytics show that more and more people are accessing Transum Mathematics via an iPad as it is so portable and responsive. The iPad has so many other uses in addition to solving Transum's puzzles and challenges and it would make an excellent gift for anyone.

You have to hold iPad Air to believe it. It’s just 7.5 millimeters thin and weighs just one pound. The stunning Retina display sits inside thinner bezels, so all you see is your content. And an incredible amount of power lies inside the sleek enclosure. So you can do so much more. With so much less. more...

Before giving an iPad as a gift you could add a link to iPad Maths to the home screen.

Click the images above to see all the details of these items and to buy them online.


Apple

©1997-2017 WWW.TRANSUM.ORG