Question

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

of a deck when the cards aren't replaced?

A) 2%
B) 5%
C) .98%
D) .01%​

Answer 1

Correct option C) 0.98%

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) = (2)/(52)`

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

⇒
`P(Heart) = (13)/(51)`

So , Probability of occurring both events is :

⇒
`P(Black)(P(Heart))`

⇒
`(2)/(52) ((13)/(51) )`

⇒
`0.0098`

Percentage =
`0.0098(100) = 0.98`%

Therefore , Correct option C) 0.98%