suppose you have 2 dimes ad 3 quarters in a bag. You shake it so that 2 coins fall out. 1) What is the probability that both coins are quarters? 2) both coins are dimes? 3) both coins are the same? 4)you shake out one of each coin?

Answer 1

20 things could happen in the two tosses
for example
D1 first
then
D2 or Q1 or Q2 or Q3
or
D2 first
then
D1, Q1 Q2 Q3
or
Q1 first
then
D1 D2 Q2 Q3
.
. etc

Both quarters out of the 20 I see
6 so 6/20 = 0.3

both dimes I see 2 out of the 20 or 0.1

both dimes or both quarters I see 8 out of the 20 so 0.4

one of each I see 12 out of the 20 or 0.6

Answer 2

How do you get 20.