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.

a. 0.2
b. 0.4
c. 0.6
d. 0.8

Answer 1

The probability that at any point in the process, Danya's total will equal 10 is 0.6.

Step-by-step explanation:

To find the probability that at any point in the process, Danya's total will equal 10, we need to consider all possible combinations of chips that can add up to 10.

Here are the possible combinations:

• 2 + 3 + 5 = 10
• 3 + 2 + 5 = 10
• 4 + 2 + 4 = 10

There are a total of 3 possible combinations that result in a total of 10. Since there are 5 chips in total, the probability is 3/5 = 0.6.