There are 3 blue, 4 green, 5 red balls. What is the probability of drawing a blue, a green and a red ball without replacement? I thought answer should be 1/22 becuz 3/12 x 4/11 x 5/10 = 1/22 but that's not it. The solution says I should multiply it by 6 but i don't know why. Here is a similar question Superwoman has 3 blue balloons, 4 green balloons and 5 red balloons. How many possible 3 balloon bouquets can she make? Again, i thought it should be 1/22 but no. This is actually different from previous one. The previous one multiplied by 6, but this time we divide by 6 Basically I wanna know when I should multiply and when I need to divide. and also, when I don't have to do any of those two and just leave the answer 1/22.