Question

There is exactly the same number of lollies in 10 different colours in a jar. (There are thousands of each lolly)

If one lolly is picked out , the probability of being one colour is 1/10 and the second being same colour is also 1/10 <-- I do not understand why this is, the textbook says

"Because there are thousands of lollies, the probability that the second lolly is the same colour is 1/10"

If 4 lollies are picked out, what is the probability that they are all different colours ?
What is the probability of any 2 of them being the same colour?

Answer 1

first question:

Assume 10,000 lollies.
Probability of getting one red = 1,000/10,000=1/10
Now that it is gone, the probability of getting the second is 999/9999= darn close to 1/10 still.

pricking out 4 of different color.
prob first of any color=1
prob second of another color=3/10
prob third of another color=2/10
prob four of last colr= 1/10

so multiply all of those: 6/1000