Question

What is the probability of drawing a black ace followed by a heart out

Answer 1

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 :

⇒ $P(Black) = \frac{2}{52}$

Now , A heart is drawn out of 51 cards ( as one black ace is already drawn !):

⇒ $P(Heart) = \frac{13}{51}$

So , Probability of occurring both events is :

⇒ $P(Black)(P(Heart))$

⇒ $\frac{2}{52} (\frac{13}{51} )$

⇒ $0.0098$

Percentage = $0.0098(100) = 0.98$%

Therefore , Correct option C) 0.98%