Please place your question here Four standard 52card decks a

Please place your question here: Four standard 52-card decks are used in a probability experiment. One card is drawn from each deck.
What is the probability that a diamond is drawn from the first deck, an ace from the second, the ace of hearts
from the third, and the ace of hearts from the fourth card?

Solution

Note that

there are 13 diamonds
4 aces
1 ace of hearts
52 cards in a deck

Thus, the probability of this is, as they are independent events

P(D, A, A-H, A-H) = P(D) P(A) P(A-H) P(A-H)

= (13/52)*(4/52)*(1/52)*(1/52)

= 1/140608 or approx. 0.00000711197 [ANSWER]