There are 210 identical plastic chips numbered 1 through 210 in a box. What is the probability of reaching into the box and randomly drawing the chip numbered 169? Express your answer as a simplified fraction or a decimal rounded to four decimal places.
Solution:
There are 210 identical plastic chips numbered 1 through 210 in a box.
Suppose we randomly draw a chip.
The sample space S is written as
S = {1 , 2 ,3 , 4 , 5 , 6 , ..................., 210}
No.of the elements in S = n = 210
Let event A such that drawing the chip numbered 169
A = {169}
The probability of event A is given by
P(A) = No. of elements in Sample space/No.of elements in event A
= 1/210
Answer;
The probability of reaching into the box and randomly drawing the chip numbered 169 is or 0.0048
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