-- When you start out, there are 10 coins in your pocket, and 4 of them are nickels.
If you reach in and pick one coin, with mittens on (so you can't feel which one you're grabbing), your chance of picking a nickel is 4/10 .
-- Then there are 9 coins left in your pocket, and 3 of them are nickels.
-- NOW if you reach in and pick another coin, the chance of picking a nickel is 3/9 .
-- The probability of BOTH events is
P = (4/10) x (3/9)
P = 12/90
P = 13.33 %
Answer:
2/15.
Step-by-step explanation:
Probability of the first pick being a nickel = 4/10 = 2/5.
Probability of the second being a nickel = 3/9 = 1/3.
So the probability of 2 nickels = 2/5 * 1/3 = 2/15.
Note: the probabilities are multiplied as the 2 events are independent.
