Answer to Question #300856 in Statistics and Probability for Tege

Question

3. A box contains 4 bad and 6 good tubes. Two are drawn out from the box at a time. One is tested and found to be good. What is the probability that the other one is also good?

Answer 1

After the first good tube picked up,

number of good tubes left = 5

number of bad tubes left = 4

The probability that the second tube picked up is good is

$$\dfrac{5}{5+4}=\dfrac{5}{9}$$