Question

What is 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?

A) one over fifty one
B) one over fifty two
C) twelve over fifty one
D) thirteen over fifty two

Answer 1

Answer: C) twelve over fifty one

Explanation:

Formula for probability =
`\frac{\text{Favorable outcomes}}{\text{Total ouctomes}}`

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 :-

`\frac{\text{Number of hearts left}}{\text{Total cards left}}\\\\=(12)/(51)`

Hence, the correct answer is option C) twelve over fifty one