Answer: 3/11
Explanation:
Number of purple marbles = 6
Number of blue marbles = 5
Total number of marbles = 6 + 5 = 11
The probability of picking the dust purple marble will be 6/11. After a purple marvel has been picked, there'll be 5 purple marbles left and the total number of marbles will be 10, therefore the probability of picking the second purple marble will be 5/10.
Therefore we then multiply the probability of picking the first purple marble by the probability of picking the second purple marble. This will be:
= 6/11 × 5/10
= 6/11 × 1/2
= 3/11