Your pocket contains 2 quarters and 2 Nickels. You randomly pick one of the coins and without replacing it you pick a second coin.

Are the events, Q1 = First pick was a quarter
Q2 = Second pick was a quarter
a) Independent?
b) What is the probability of getting a quarter both times, P (Q1 and Q2)?
c) What is the probability of getting a quarter and then a nickel, P (Q and N)?

1 answer

a) yes

b) If the events are independent, the probability of both/all events occurring is determined by multiplying the probabilities of the individual events.

2/4 * (2-1)/(4-1) = ?

c) 2/4 * 2/(4-1) = ?