There are 5 pennies, 7 nickels, and 9 dimes in an antique coin collection
two coins are to be selected at random from the collection. Find each
10. P(selecting 2 pennies), if no replacement occurs
11. P(selecting 2 pennies), if replacement occurs
12. P(selecting the same coin twice), if no replacement occurs
There is a total of 5 + 7 + 9 = 21 coins.
The probability of selecting 2 pennies (no replacement) = 5/21 x 4/20
The probability of selecting 2 pennies (with replacement) = 5/21 x 5/21
The probability of selecting the same coin twice (without replacement) = 0 (once he coin has been selected, it can't be selected again, if there is no replacement)