skyblue289
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In a standard deck of playing cards, one-fourth of the cards are hearts.
There are 3 decks of cards. One card is dealt from each deck. What is
the probability that all 3 cards are hearts?
A
12
B
1
24
C
1
32
D
1
64

Respuesta :

semsee45

Answer:

[tex]\sf D) \quad \dfrac{1}{64}[/tex]

Step-by-step explanation:

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

Probability of drawing a heart from one deck:

[tex]\sf \implies P(heart)=\dfrac{1}{4}[/tex]

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

[tex]\sf \implies P(heart)\:and\:P(heart)\:and\:P(heart)=\dfrac{1}{4} \times \dfrac{1}{4} \times \dfrac{1}{4}=\dfrac{1}{64}[/tex]

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