Answer :
Using it's concept, it is found that there is a [tex]\frac{13}{102}[/tex] probability that the first card is a club and the second one is black.
What is a probability?
A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem:
- In a deck, there are 52 cards, of which 13 are clubs, hence [tex]P(A) = \frac{13}{52} = \frac{1}{4}[/tex].
- Then, of the remaining 51 cards, 26 are black, hence [tex]P(B) = \frac{26}{51}[/tex].
Then:
[tex]p = P(A)P(B) = \frac{1}{4} \times \frac{26}{51} = \frac{13}{102}[/tex]
[tex]\frac{13}{102}[/tex] probability that the first card is a club and the second one is black.
More can be learned about the probability concept at https://brainly.com/question/15536019