The Probability of Drawing a Chip Less Than 570

Understanding Probability

Probability is a measure of the likelihood of a specific event occurring. It is expressed as a number between 0 and 1, where 0 indicates that the event will not occur and 1 indicates that the event will definitely occur.

Given Data

There are 756 identical plastic chips numbered one through 756. The task is to determine the probability of reaching into a box and drawing a chip numbered less than 570.

Calculating the Probability

To find the probability of drawing a chip less than 570, we need to consider the total number of possible outcomes and the number of favorable outcomes (chips numbered less than 570).

Number of favorable outcomes: 569 (chips numbered 1 through 569)

Total number of outcomes: 756 (chips numbered 1 through 756)

Therefore, the probability of drawing a chip less than 570 is calculated as:

Probability = Number of favorable outcomes / Total number of outcomes

Probability = 569 / 756

Expressing the Probability

The probability of drawing a chip numbered less than 570 can be expressed as a fraction or a decimal. When simplified, the fraction becomes:

Probability = 569 / 756 = 0.75

Therefore, the probability of reaching into the box and drawing a chip numbered less than 570 is 0.75 or 3/4.