This problem solving activity has a statistics focus.
Rangi is in a hurry to get off to a party.
He grabs two CDs from his CD rack.
If he has 5 Kickin' CDs and 3 Now CDs, is he more likely to have grabbed a pair of Kickin' CDs or one of each?
In this problem students should be encouraged to draw combinations, make a systematic list or table, or use equipment to show that they have explored all the possibilities.
The solution shows a systematic approach.
Rangi is in a hurry to get off to a party. He grabs two CDs from his CD rack. If he has 5 Kickin' CDs and 3 Now CDs, is he more likely to have grabbed a pair of Kickin' CDs or one of each?
Write a CD problem where the answer is equally likely.
Regardless of their choice of strategy to solve this problem, students should demonstrate that they have explored all possibilities.
In this diagram the 5 Kickin' CDs are shown with white circles (1, 2, 3, 4, 5) and the 3 Now CDs are shown with black circles (1, 2, 3).
There are 28 ways of taking two CDs from Rangi collection.
There are just 10 ways for Rangi to have grabbed a pair of Kickin' CDs and 15 ways to have grabbed one Now and one Kickin'. So he is more likely to have taken a mixture of Kickin' and Now to the party.
Printed from https://meaningfulmaths.nt.edu.au/mmws/nz/resource/grabbing-cds at 8:56pm on the 26th February 2024