There are 8 identical plastic chips numbered 1 through 8 in a box. What is the probability of reaching into the box and randomly drawing the chip numbered 6? Express your answer as a fraction or a decimal number rounded to three decimal places, if necessary.
Answer (2)
The probability of drawing the chip numbered 6 from a box of 8 chips is 8 1 , which can also be expressed as 0.125. This reflects the chances of selecting that specific chip from the total available. Thus, if you draw randomly, there's a 12.5% chance of picking the chip marked with the number 6.
;
There are 8 possible outcomes when drawing a chip.
Only one outcome is favorable (drawing the chip numbered 6).
Calculate the probability: 8 1 .
Express the probability as a decimal: 0.125 .
Explanation
Understand the problem We have a box containing 8 plastic chips, each uniquely numbered from 1 to 8. We want to determine the likelihood of picking the chip labeled '6' in a single, random draw.
Determine the total number of outcomes Since there are 8 chips in total, each equally likely to be drawn, the total number of possible outcomes is 8.
Determine the number of favorable outcomes There is only one chip with the number 6 on it. Therefore, there is only 1 favorable outcome.
Calculate the probability The probability of drawing the chip numbered 6 is the ratio of the number of favorable outcomes to the total number of possible outcomes. That is: P ( 6 ) = Total number of chips Number of chips numbered 6 = 8 1 To express this as a decimal rounded to three decimal places, we divide 1 by 8: 8 1 = 0.125
State the final answer The probability of drawing the chip numbered 6 from the box is 8 1 or 0.125.
Examples
Imagine you're playing a game with your friends where you have to pick a specific number out of a hat containing numbers 1 to 8. This calculation helps you understand your chances of picking the right number in one try. It's a simple way to see how probability works in everyday situations.
