Question

There are 195 identical plastic chips numbered 1 through 195 in a box. What is the probability of reaching into the box and randomly drawing a chip number that is smaller than 32 ? Express your answer as a simplified fraction or a decimal rounded to four decimal places.

Answer 1

First we note that each plastic chip is equally likely to be drawn. Thus, we can use the following formula to calculate the probabilities:

Probability = (No. of favourable outcomes)/(Total no. of outcomes)

Total Outcomes

Since there are a total of 195 chips, the total no. of outcomes is 195.

Favourbale Outcomes

We define the favourable outcome as drawing a chip smaller than 32.

Thus, if we draw 1,2,3,...,30 or 31 then it will be considered as a favourable outcome.

Thus, the no. of favourable outcomes is 31.

Probability

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