probability

Question

A treasure has 6 similar gold coins and 9 silver coins. If 4 coins are to be randomly selected
without replacement, the probability that the first 2 selected are gold and the last 2 silver

Comments

Gold coins: 6, Silver coins: 9

First pick being gold is: 6/15

Gold coins: 5, Silver coins: 9

Second pick being gold is : 5/14

Gold coins: 4, Silver coins: 9

Third pick being silver is : 9/13

Gold coins: 4, Silver coins: 8

Fourth pick being silver is : 8/12

Probability: 6/15 * 5/14 * 9/13 * 8/12

Answer 1

(6C2 *9C2)/15C4

Comments

The question specifically mentions that the first 2 must be Gold.In your case,any 2 of the selected coins can be Gold.