Question

A box contains 5 purple marbles, 3 green marbles, and 2 orange marbles. Two consecutive draws are made from the box without placement of the first draw. Find the probability of each event.

Answer 1

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