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Suppose you are going to draw two cards from a standard deck. What is the probability that the first card is an even card and the second card is Queen?

Sagot :

Answer:

0.0302

Explanation:

A standard deck has 52 cards in total, and 20 are even cards because each suit has a card for 2, 4, 6, 8, and 10. Additionally, there are 4 queens, so the probability that the first car is an even and the second car is a queen is

[tex]P=\frac{20}{52}\times\frac{4}{51}[/tex]

Because for the first card you have 20 possible options from the 52 and from the second card you have 4 options from the 51 cards remaining.

[tex]P=\frac{20\times4}{52\times51}=\frac{80}{2652}=0.0302[/tex]

So, the answer is 0.0302