Answer:
The correct answer is 0.05882.
Step-by-step explanation:
A deck of cards have 52 cards, 13 cards of each suit.
We are drawing two cards without replacement.
We need to find the probability of getting a diamond as the first card.
Favorable outcomes are 13 and total number of outcomes are 52.
Thus this probability is [tex]\frac{13}{52} = \frac{1}{4}[/tex].
Now for the next draw we again want to pick a diamond card.
Favorable outcomes are 12 and total number of leftover cards are 51.
Thus this probability is [tex]\frac{12}{51}[/tex].
Now the probability that both cards are diamonds is [tex]\frac{1}{4}[/tex] × [tex]\frac{12}{51}[/tex] = [tex]\frac{3}{51} = \frac{1}{17}[/tex] = 0.0588235 ≈ 0.05882
