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Calculating probabilities

Updated: May 25, 2020

So, the question says:


A box contains 15 counters, numbered 1 - 15. If a counter is drawn at random, calculate the probability that the number is less than 6.


To work this out, we need this formula:


Probability of event = no. of ways event can happen / total possible outcomes


Ok, so our event is drawing a number less than 6. And there are 15 total possible outcomes.


There are 5 ways to draw a number less than 6 (1, 2, 3, 4, 5) so this comes to:


P(less than 6): 5/15


This is because out of the 15 total outcomes, 5 of them make our event happen.


This is simplified to:


P(less than 6): 1/3


And that's the answer! There is a one third chance of drawing a number less than 6. Test yourself with our short quiz:







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