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