Answer: C) twelve over fifty one
Step-by-step explanation:
Formula for probability =[tex]\dfrac{\text{Favorable outcomes}}{\text{Total ouctomes}}[/tex]
We know that , a standard deck has 52 cards.
Number of hearts = 13
If a heart was drawn on the first draw and not replaced, then the number of hearts left = 13-1=12 (favorable outcomes)
The total number of cards left = 52-1=51 (total outcomes)
Therefore, the probability of drawing a heart from a standard deck of cards on a second draw, given that a heart was drawn on the first draw and not replaced would be :-
[tex]\dfrac{\text{Number of hearts left}}{\text{Total cards left}}\\\\=\dfrac{12}{51}[/tex]
Hence, the correct answer is option C) twelve over fifty one
