Question

six cards are drawn successively with replacement from a well shuffled pack of 52 cards, then the probability getting three diamond cards is

Answer 1

The probability of getting three diamond cards when drawing six cards successively with replacement from a well-shuffled deck of 52 cards is approximately 0.29%.

Step-by-step explanation:

The probability of getting three diamond cards when drawing six cards successively with replacement from a well-shuffled deck of 52 cards can be calculated as follows:

1. The probability of drawing a diamond card from the deck is 13/52, since there are 13 diamond cards out of a total of 52 cards.
2. Since the cards are drawn with replacement, the probability of drawing a diamond card on each draw remains the same.
3. Therefore, the probability of getting three diamond cards in six draws is (13/52) * (13/52) * (13/52) = 2197/748052, which simplifies to approximately 0.0029 or 0.29%.