Question

You draw 2 cards from a well-shuffled deck of 52 cards. After you draw the first card, you do not replace it in the deck. What is the probability of P(get ace of spades on first draw and get queen of hearts on second draw)?

Write fractions using the slash ( / ) key. Reduce fractions to their lowest terms.

Answer 1

You are going to have 1 less card on the second draw. That's the whole key here.

P(A of S plus Q of H) = P(A of S given a full deck) x P(Q of H given one less card)

That's a very summarized description of what's going on here. Just bear in mind that you have ONE LESS CARD on that second draw.


So, to start, what is:

P(A of S given a full deck)

Answer 2

1/52?

Answer 3

Good. Now, what is:

P(Q of H given one less card)

Answer 4

1/51?

Answer 5

so then i times those two and i get
1/2652?

Answer 6

Good. And since:
P(A of S plus Q of H) = P(A of S given a full deck) x P(Q of H given one less card)

you just multiply those 2 probabilities.

Answer 7

Good job! You got it!

Answer 8

woot thanks for helping :)!

Answer 9

uw! Good luck in all of your studies and thx for the recognition! @neon.fire