Question

Tobias has 12 coins in his pocket. Of these coins, 8 were made in the year 2000, and 4 were made in the year 2005. Tobias randomly selects one coin from his pocket and, without replacing it, selects another coin from his pocket. What is the probability that both coins he selects were

made in the year 2000?

Answer 1

the total coins are 12, 8 are from year 2000.
So the probability of having the first coin from year 2000 is 8 out of 12 = 8/12 = 0.666 = 66.7%
For the second, would be 7 coins from 2000 out of 11 total, that is 7/11 = 0.636 = 63.6%
and the total probability is the multiplications of them both:
total probability = 0.666*0.636 = 0.424 = 42.4%
thatt is the probability