76.9k views
3 votes
20 points if someone gets it right

You draw twice from this deck of cards.


Letters: G F F B D H


What is the probability of drawing an F, then drawing an F without the first replacing a card? Write you answer as a fraction

User ElDog
by
7.7k points

1 Answer

3 votes

Explanation:

There are six cards in the deck, and two of them are F's.

When drawing the first card, the probability of getting an F is 2/6, or 1/3.

After the first card is drawn, there are now five cards left in the deck, and one of them is an F. Therefore, the probability of drawing an F on the second draw without replacement is 1/5.

The probability of drawing an F on the first draw and then drawing an F on the second draw without replacement is the product of these two probabilities:

P(F, then F without replacement) = P(F on first draw) x P(F on second draw without replacement)

= (1/3) x (1/5)

= 1/15

Therefore, the probability of drawing an F, then drawing an F without the first replacing a card is 1/15.

User Hemnath Mouli
by
7.8k points

No related questions found