Question

there are 340 identical plastic chips numbered 1 through 340 in a box. What is the probability of reaching into the box and randomly drawing a chip number that is smaller than 217? Express your answer as a simplified fraction or a decimal rounded to four decimal places,

Answer 1

Explanation:

There are 340 identical plastic chips numbered 1 through 340 in a box. Then, the total number of possible outcomes is equal to 340.

Now, let E be the event of getting randomly drawing a chip number that is smaller than 217. Then, the favorable outcomes are:

1, 2, 3, ..............,216

Thus, the number of favorable outcomes is equal to 216.

According to the definition of Probability, we get the following expression to find the probability of reaching into the box and randomly drawing a chip number that is smaller than 217:

$P(E)=\frac{number\text{ of favorable outcomes}}{number\text{ of possible outcomes}}=\frac{216}{340}=\frac{54}{85}$

we can conclude that the correct answer is:

Answer:$\frac{54}{85}$