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Example: What are the chances of getting heads 3 times in a row?
Let’s define possible outcomes of 3 coin tosses (H-Heads, T-tails):
HHH, HHT, HTH, THH, TTH HTH, HTT, TTT
Number of ways it can happen: 1
Total number of outcomes: 8
So, the answer is 1/8. However, we know that the results of a coin toss are independent and we can multiply them to get the total probability: P(3x heads) = P(heads)P(heads)P(heads) = 1/2 * 1/2 * 1/2 = 1/8
On the other hand, knowing that the first card drawn from a deck is an ace does provide useful information for calculating the probabilities of drawing yet another ace going to be 3 over 51, instead of 4 over 52 because we know that we already remove on of the aces from the deck. You can think about that in your next poker game.