You draw a card from a standard deck, and you put the drawn card back in the deck after each draw. If you repeat this procedure 4 times, what is the probability that you draw a Diamond all 4 times?
1 Answer
Jan 1, 2015
The chance of drawing a diamond the first time is
Since you put back the card every time, the probability for every next card is the same. And the total probabilities may be multiplied, because each draw is independant of the ones before (just like you were filpping coins):