Answer:
The probability of selecting a purple clip after a white clip without replacement is 1/7
Step-by-step explanation:
In this question, we are asked to calculate the probability of taking out a white clip followed by the purple clip without replacement.
First, let’s calculate the total number of clips; that is 4 + 6 + 5 = 15 clips .
Initially the probability of selecting a white clip would be 5/15 = 1/3
Now, removing the white clip and not replacing it means we are left with a total of 14 clips. the probability of selecting a purple clip here would thus be 6/14 = 3/7
Now the probability of selecting a white followed by a purple clip would be 1/3 * 3/7 = 1/7