If you are dealt two cards successively (with replacement of the first) from a standard 52-card deck, find the probability of getting a heart on the first card and a diamond
on the second.
The probability of getting a heart on the first card is 13/52, since there are 13 hearts out of 52 cards.
Since we replace the first card back into the deck, the probability of getting a diamond on the second card is also 13/52, since there are 13 diamonds out of 52 cards.
To find the probability of both events happening, we multiply the probabilities together:
(13/52) * (13/52) = 169/2704 = 1/16 ≈ 0.0625
Therefore, the probability of getting a heart on the first card and a diamond on the second card is 1/16 or approximately 0.0625.