Question

In a standard deck of playing cards, one-fourth of the cards are hearts.

Answer 1

Answer:

$\sf D) \quad \dfrac{1}{64}$

Step-by-step explanation:

$\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}$

Probability of drawing a heart from one deck:

$\sf \implies P(heart)=\dfrac{1}{4}$

Therefore, probability of drawing a heart from each of 3 decks:

$\sf \implies P(heart)\:and\:P(heart)\:and\:P(heart)=\dfrac{1}{4} \times \dfrac{1}{4} \times \dfrac{1}{4}=\dfrac{1}{64}$