There are 2 orange marbles, 3 green marbles, & 5 purple marbles
two consecutives draws without replacement
Orange first, green second
Orange/total = 2/10, or 1/5
green/total - 1 = 3/9, or 1/3
1/5(1/3) = 1/15
There is a 1/15 chance of Orange first, green second
Both marbles are purple
Purple/total = 5/10, or 1/2
Purple/total = 4/9, or 44% chance of both being purple
first is purple, the next is anything but purple
purple/total = 1/2, or 50% chance
(everything - purple)/total = 5/10, or 50% chance
1/2(1/2) = 1/4, or 25% chance of first purple, then anything but purple
hope this helps