Correct option C) 0.98%
Step-by-step explanation:
We know that , there are 2 black ace cards out of 52 cards in a deck & 13 hearts out of 52 cards . Here we have to tell What is the probability of drawing a black ace followed by a heart out of a deck when the cards aren't replaced . Let's find out:
Firstly , a black ace is drawn , so probability :
⇒ [tex]P(Black) = \frac{2}{52}[/tex]
Now , A heart is drawn out of 51 cards ( as one black ace is already drawn !):
⇒ [tex]P(Heart) = \frac{13}{51}[/tex]
So , Probability of occurring both events is :
⇒ [tex]P(Black)(P(Heart))[/tex]
⇒ [tex]\frac{2}{52} (\frac{13}{51} )[/tex]
⇒ [tex]0.0098[/tex]
Percentage = [tex]0.0098(100) = 0.98[/tex]%
Therefore , Correct option C) 0.98%
