Question

A bag contains five chips numbered 2 through 6. danya draws chips from the bag one at a time and sets them aside. after each draw, she totals the number on all the chips she has already drawn. what is the probability that at any point in this process her total will equal 10? express your answer as a decimal to the nearest tenth.

Answer 1

To calculate the probability of reaching a total of 10 at any point in Danya's process of drawing chips, we need to analyze the possible combinations of chips that can be drawn.

Step-by-step explanation:

To calculate the probability of totaling 10 at any point in Danya's process, we can analyze the possible combinations of chips she can draw.

Starting with the first draw, Danya can choose any chip numbered from 2 to 6, which gives her 5 possible options.

On subsequent draws, Danya will need to choose chips that, when added to her previous total, equal 10. For example, if Danya draws a chip numbered 6 first, she will need to draw a chip numbered 4 next in order to reach a total of 10.

Using this approach, we can calculate the probability of reaching a total of 10 at any point in the process.

There are a total of 5 chips to choose from for the first draw. After that, the probabilities depend on the previous draws. It is also important to consider that Danya stops drawing once her total reaches 10.

In summary, the probability that Danya's total will equal 10 at any point in the process depends on the possible combinations of chips that can be drawn.