Probability Question Three standard 52card decks of cards ar

Probability Question:

Three standard 52-card decks of cards are used in a probability experiment. One card is drawn from each deck. Determine the probability that a diamond is drawn from the first deck, an ace is drawn from the second deck, and the king of hearts is drawn from the third deck of cards.

Solution

The trails are independent of each other because ferent decks are used.

Lets use here, law of joint probability that all three events will occur is the product of three individual probabilities. P[

a diamond is drawn from the first deck] = 13/52 ------------------------( from first deck )

   P[

an ace is drawn from the second deck ] = 4/52 ------------------------ ( from second deck)

   P[

the king of hearts is drawn from the third deck of cards ] = 1/52 ............( from third deck )

P[ diamond and ace and king of hearts] = (13/52)*(4/52)*(1/52) = 0.00037