Respuesta :
Black card 26 out of 52 or 1/2 or 50% chance. As far as it being a heart the odds go to 13 out of 52 or 25%.
Answer:
The required probability is 1/8.
Step-by-step explanation:
In a standard deck cards there are 13 spades , 13 clubs, 13 hearts and 13 diamonds.
Total cards = [tex]13+13+13+13=52[/tex]
The spades and the clubs are black and the hearts and the diamonds are red.
Means 26 cards are red and 26 cards are black.
Now, 1 heart card can be drawn from a pack of 13 heart cards in 13C1 ways or 13C1=13
And 1 card can be drawn from a pack of 52 cards in 52C1 ways or 52C1=52
So, the probability of drawing a heart card from 52 cards is [tex]13/52=1/4[/tex]
Similarly, 1 black card can be drawn from a pack of 26 black cards in 26C1 ways or 26C1=26
And 1 card can be drawn from 52 cards in 52C1 ways or 52C1=52
Therefore, the probability of drawing a black card from a pack of 52 cards is
[tex]26/52=1/2[/tex]
Hence, the probability (combined) is =[tex]1/4\times1/2=1/8[/tex]
